# NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles (EX 5.2) Exercise 5.2

One of the most crucial subjects during a student’s academic career is Mathematics. Students in Class 7 enrolled in the Central Board of Secondary Education (CBSE) study Mathematics as one of the subjects. Mathematics is usually viewed by Class 7 students as the most difficult subject. Students should practise answering the problems, in addition, to properly understanding the ideas in Mathematics. Despite studying and understanding every topic in the curriculum, students frequently do not finish all the exercises. As a result, they find themselves at a disadvantage on the yearly examination. To achieve higher scores, they must solve this problem. NCERT solutions such as the NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 are available on Extramarks to help in the resolution of this issue.

Mathematics is one of the most significant and challenging subjects for students in Class 7. Mathematics requires a strong conceptual understanding as well as a lot of practice in problem-solving. The key to performing well in Mathematics on annual exams is to practise a large number of questions. Chapter 5 of the NCERT Mathematics textbook deals with Lines and Angles. This chapter should be carefully studied by students because it will be covered in annual exams. Multiple questions are often found in exams from this chapter. The ideas contained in this chapter are quite important.  In this chapter, studentsare introduced to topics such as Intersecting Lines, Transversal, Angles made by a Transversal, etc.. These concepts will be very beneficial to them in the future. It is essential that students finish the exercises in this chapter to ensure that they have a firm grasp of the topics. To easily solve the problems in the exercises, students must follow a number of steps. To aid students in this, Extramarks provides NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2.

The NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 are helpful for students getting ready for their exams since they are written in straightforward language that all students can understand. The NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 have been produced in a stepwise fashion to aid students in succeeding in their exams. In order to prevent students from being compelled to look elsewhere for the topics covered by the curriculum or the distribution of marks, the NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 have been created in accordance with the most recent syllabus. Every CBSE guideline is followed by the solutions to help score maximum marks. All of the problems in the exercise are addressed in the NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2, which are also fully error-free. The NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 can help students prepare for exams by helping them answer questions like these fast and accurately. Since they have been prepared in an easy-to-understand manner, the NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 offered by Extramarks will suffice to help students deal with the questions given in the  NCERT textbook. Using the NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 can help students apply the concepts from Chapter 5 more accurately and easily. Highly skilled teachers who have taken into mind the comprehension capacity of Class 7 students have prepared the precise and error-free NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2. The exercise questions have been divided into smaller and more manageable steps to facilitate composing answers. Examiners frequently stress the importance of writing stepwise answers in exams. Students should follow the step-by-step solutions in the NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 to get ideal scores on their exams.

Exercises provided in the NCERT textbook are the most important tool for mastering questions for exams.As a result, it is typically advised that students in Class 7 attempt to answer the questions from the NCERT textbook. They also need the correct answers to the questions so they can check the answers they have written. Students can thus acquire the help they need while preparing forthe yearly examinations owing to the NCERT solutions. Students can apply the ideas from the chapter in a clearer and more precise way by using the NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2. Many of the rules and concepts given in the NCERT textbook are challenging for students to comprehend and retain, which prevents them from using them to respond to the exercises’ questions. However, it will be simpler for them to recall these concepts and use them correctly if they practise the step-by-step solutions in the NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2.

Extramarks gives a comprehensive response to a student’s educational demands. Although NCERT textbooks make excellent study resources, students still have trouble finding trustworthy NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2. Although the answers to the problems are provided in the NCERT textbook, their in-depth explanations are not included. When responding to the questions, students must understand the steps required to arrive at the final answer. Writing each step in the examinations is essential if students wish to receive maximum marks. Hence, students should follow the NCERT solutions thoroughly.

## NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles (EX 5.2) Exercise 5.2

Access to the NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 might not always be possible. Having an internet connection is crucial, even though it might not always be possible for students. For students who want to continue learning, the NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 in PDF format should be available. The detailed and accurate NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 are provided by Extramarks in PDF format. This will help students have access to them throughout the year. Additionally, it provides students with access to a comprehensive learning programme that combines the benefits of online classroom instruction with study aids like NCERT solutions.

## Access NCERT Solutions for Class 7 Maths Chapter 5 – Lines And Angles

Students will be better able to understand the problems presented in the NCERT textbook if they have access to the NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2. Additionally, they will be well aware of the procedures and methods for solving each question. There are no fully explained methods of answering the exercise questions in the NCERT textbook. The NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 are accessible on the Extramarks website and mobile app to aid students in gaining a reliable conceptual understanding of the chapter.

## Class 7 Maths Chapter 5 Exercise 5.2 – A Summary of Lines and Angles

The NCERT Class 7 Maths Chapter 5 Exercise 5.2 is based on the topics of Pairs of Lines and Checking for Parallel Lines. This exercise includes a total of six questions. These questions cover important concepts from the chapter on Lines and Angles. This chapter consists of various important concepts such as Complementary Angles, Supplementary Angles, Adjacent Angles, Vertical Angles, etc. Students should read all these concepts from the NCERT book. Along with that, they can refer to the revision notes provided by Extramarks that will help them summarise the chapter.

### NCERT Class 7 Maths Solutions Chapter 5 Exercise 5.2 – All Questions

Both smart study and hard work are required of students preparing for the exams in Class 7. Students must develop a strong approach if they want to achieve extraordinary results in their preparation for the exams. For each subject, they should design a study schedule and try to follow it while studying. They must have everything scheduled in advance. They should first go over the subject syllabus and properly read each topic in accordance with it. They should practise the questions from the textbook along with taking notes on important facts. They should also try to attempt and solve every exercise question on their own. They can use Extramarks’ NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 for assistance. The formulas and properties used to solve the questions should also be noted down. Additionally, they can record the steps they took to answer the questions. The concepts should then be revised, with a focus placed more heavily on those areas where they fall short. Finally, they should take the mock tests available on Extramarks on their own in order to be thorough with all the topics.

It is essential to get  proper instruction to understand the many ideas covered in the Class 7 Mathematics curriculum. In addition to using various types of support, students can gain a complete understanding of the principles in a particular topic by having the opportunity to acquire NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 from the best subject experts. Through precisely crafted educational materials offered by Extramarks, students can receive the NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 from acclaimed subject specialists. The assistance of qualified mentors can help students develop confidence in their studies and for upcoming tests. Class 7 comprises a variety of tests and examinations at the school level to help students learn the required concepts. However, students need some guidance from mentors in order to perform well in their exams. Having access to the NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 by experts could be helpful for exam preparation.

By practising NCERT Solutions for Class 7 Maths Chapter 5 Exercise 5.2, students can gain the necessary experience to successfully complete the mathematics question paper in the annual examinations.Using the NCERT Solutions for Class 7 Maths Chapter 5 Exercise 5.2, students can become acquainted with the types of questions that may appear in the yearly exams.Students can evaluate their own responses by using the NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 available on Extramarks. Students can assess their strong and weak points with the help of these solutions and make improvements. The answers in the NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 have been produced by experts with years of experience. Students can use these solutions to improve their writing skills, as they are developed in a stepwise manner in accordance with the CBSE marking scheme. Students should practise answering as many questions as possible before appearing for their exams. On the Mathematics question paper in exams, there are typically a number of lengthy and difficult problems. Students spend a lot of time attempting to fully solve these problems. Due to time limits, they are forced into a situation where they cannot attempt some questions, even though they know the answers. However, they can resolve this issue by practising NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2. They will develop an effective strategy for answering many questions as they complete more exercises. In the end, they can write more quickly and develop better time management techniques. Due to their knowledge of  proper problem-solving techniques, students will be at an advantage during exams.

### NCERT Solutions for Class 7

In addition to providing solutions for Class 7 Maths Chapter 5 Exercise 5.2, Extramarks provides NCERT solutions for all other exercises of the NCERT textbook. Students can find NCERT solutions for each of the exercises in all 15 chapters of the NCERT book from the Extramarks website and app. Extramarks provides a range of study tools to help students do well on the Mathematics exam. This includes worksheets divided by chapter to help students understand each chapter covered in the syllabus.Extramarks also provides sample questions from each chapter to help students become accustomed to the variety of topics that could be included on the test. Visual animations assist students to learn more effectively by helping them understand each topic better. Students can obtain CBSE sample question papers to help them practise for the test. Besides, students can study all the previously studied topics with the help of revision notes. On the Extramarks website and Learning App, students can obtain the NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2.

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Q.1

$\begin{array}{l}\mathrm{State}\mathrm{the}\mathrm{property}\mathrm{that}\mathrm{isused}\mathrm{in}\mathrm{each}\mathrm{of}\mathrm{the}\mathrm{following}\mathrm{statements}?\\ \begin{array}{l}\left(\mathrm{i}\right)\mathrm{If}\mathrm{a}\parallel \mathrm{b},\mathrm{then}\angle 1=\angle 5.\\ \left(\mathrm{ii}\right)\mathrm{If}\angle 4=\angle 6,\mathrm{then}\mathrm{a}\parallel \mathrm{b}.\\ \left(\mathrm{iii}\right)\mathrm{If}\angle 4+\angle 5=180°,\mathrm{then}\mathrm{a}\parallel \mathrm{b}.\end{array}\end{array}$

Ans.

$\begin{array}{l}\text{(i) Corresponding angles property}\\ \text{(ii) Alternate interior angles property}\\ \text{(ii) Interior angles on the same side of transversal are supplementary.}\end{array}$

Q.2 In the adjoining figure, identify
(i) the pairs of corresponding angles.
(ii) the pairs of alternate interior angles.
(iii) the pairs of interior angles on the same side of the transversal.
(
iv)
the vertically opposite angles.

Ans.

$\begin{array}{l}\text{(i)}\angle 1\text{and}\angle 5\text{,}\angle 2\text{and}\angle 6\text{,}\angle 3\text{and}\angle 7,\text{}\angle 4\text{and}\angle 8.\\ \text{(ii)}\angle 2\text{\hspace{0.17em}}\text{and}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\angle 8,\text{\hspace{0.17em}}\angle 3\text{\hspace{0.17em}}\text{and}\text{\hspace{0.17em}}\angle 5\\ \left(\text{iii)}\angle 2\text{\hspace{0.17em}}\text{and}\text{\hspace{0.17em}}\angle 5,\text{\hspace{0.17em}}\angle 3\text{\hspace{0.17em}}\text{and}\text{\hspace{0.17em}}\angle 8\\ \text{(iv)}\angle 1\text{\hspace{0.17em}}\text{and}\text{\hspace{0.17em}}\angle 3,\text{\hspace{0.17em}}\angle 2\text{\hspace{0.17em}}\text{and}\text{\hspace{0.17em}}\angle 4,\text{\hspace{0.17em}}\angle 5\text{\hspace{0.17em}}\text{and}\text{\hspace{0.17em}}\angle 7,\text{\hspace{0.17em}}\angle 6\text{\hspace{0.17em}}\text{and}\text{\hspace{0.17em}}\angle 8.\end{array}$

Q.3

$\mathrm{In}\mathrm{the}\mathrm{adjoining}\mathrm{figure},\mathrm{p}\parallel \mathrm{q}.\mathrm{Find}\mathrm{the}\mathrm{unknown}\mathrm{angles}.$

Ans.

$\begin{array}{l}\angle \mathrm{d}=125°\left(\text{Corresponding\hspace{0.17em}angles}\right)\\ \angle \mathrm{e}=180°125°=55°\left(\text{Linear\hspace{0.17em}pair}\right)\\ \angle \mathrm{f}=\angle \mathrm{e}=55°\left(\text{Vertically\hspace{0.17em}opposite\hspace{0.17em}angles}\right)\\ \angle \mathrm{c}=\angle \mathrm{f}=55°\left(\text{Corresponding\hspace{0.17em}angles}\right)\\ \angle \mathrm{a}=\angle \mathrm{e}=55°\left(\text{Corresponding\hspace{0.17em}angles}\right)\\ \angle \mathrm{b}=\angle \mathrm{d}=125°\left(\text{Vertically\hspace{0.17em}opposite\hspace{0.17em}angles}\right)\end{array}$

Q.4 Find the value of x in each of the following figures if

$\mathrm{l}\parallel \mathrm{m}$

.

Ans.

$\begin{array}{l}\text{(i)}\\ \angle \mathrm{y}=110°\text{(corresponding angles)}\\ \angle \mathrm{x}+\angle \mathrm{y}=180°\left(\text{linear pair}\right)\\ \mathrm{So},\text{\hspace{0.17em}}\angle \mathrm{x}=180°-110°=70°\\ \\ \text{(ii)}\\ \angle \mathrm{x}=100°\left(\text{corresponding\hspace{0.17em}angles}\right)\end{array}$

Q.5

$\mathrm{In}\mathrm{the}\mathrm{given}\mathrm{figure},\mathrm{the}\mathrm{arms}\mathrm{of}\mathrm{two}\mathrm{angles}\mathrm{are}\mathrm{parallel}.\phantom{\rule{0ex}{0ex}}\mathrm{If}\angle \mathrm{ABC}=70°,\mathrm{then}\mathrm{find}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\left(\mathrm{i}\right)\angle \mathrm{DGC}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\left(\mathrm{ii}\right)\angle \mathrm{DEF}$

Ans.

$\begin{array}{l}\text{(i) Consdier that AB}\parallel \text{DG and a transerval line BC is}\\ \text{intersecting them.}\\ \angle \mathrm{DGC}=\angle \mathrm{ABC}\text{}\left(\text{Corresponding angles}\right)\\ \mathrm{SO},\overline{)\angle \mathrm{DGC}=70°}\\ \\ \text{(ii) Consdier that BC}\parallel \text{EF and a transerval line DE is}\\ \text{intersecting them.}\\ \angle \mathrm{DEF}=\angle \mathrm{DGC}\text{}\left(\text{Corresponding angles}\right)\\ \overline{)\angle \mathrm{DEF}=70°}\end{array}$

Q.6 In the given figures below, decide whether l is parallel to m.

Ans.

$\begin{array}{l}\text{(i)}\\ \text{Consider two lines, l and m, and a transversal line n which is}\\ \text{intersecting them. Sum of the interior angles on the same side}\\ \text{of transersal}=126°+44°=170°\text{.}\\ \text{As the sum of interior angles on the same side of transervsal is}\\ \text{not 180}°\text{, Therefore}\mathrm{l}\text{is not parallel to}\mathrm{m}\text{.}\\ \\ \text{(ii)}\mathrm{x}+75°=180°\text{(linear pair)}\\ \mathrm{x}=180°-75°=105°\\ \mathrm{For}\text{}\mathrm{l}\text{and}\mathrm{m}\text{to be parallel to each other, corresponding}\\ \text{angles (}\angle \text{ABC and}\angle \mathrm{x}\right)\text{\hspace{0.17em}should be equal. However, here they}\\ \text{are 75}°\text{and 105}°\text{.}\\ \begin{array}{l}\text{Hence these lines are not parallel to each other.}\\ \\ \text{(iii)}\mathrm{x}+123°=180°\\ \mathrm{x}=\text{180}°-123°=57°\\ \mathrm{For}\text{l and m to be parallel to each other, corresponding}\\ \text{angles (}\angle \text{ABC and}\angle \mathrm{x}\right)\text{\hspace{0.17em}should be equal. However, here they}\\ \text{are 57}°\text{and 57}°\text{.}\\ \text{Hence these lines are parallel to each other.}\\ \\ \text{(iv) 98}°+\mathrm{x}=180°\\ \mathrm{x}=180°-98°=82°\\ \text{For}\mathrm{l}\text{and}\mathrm{m}\text{to be parallel to each other, corresponding}\\ \text{angles (}\angle \text{ABC and}\angle \mathrm{x}\right)\text{\hspace{0.17em}should be equal. However, here they}\\ \text{are 72}°\text{and 82}°\text{.}\\ \text{Hence these lines are not parallel to each other}\end{array}\end{array}$

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### 1. Does Extramarks offer NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2?

The NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 are offered by Extramarks and can be downloaded from the Extramarks website and mobile application.

### 2. Which chapter and exercise are covered by Extramarks' NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2?

The chapter on Lines and Angles is covered in Extramarks’ NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2. These solutions cover Class 7 Maths Exercise 5.2.

### 3. How should students use the NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 when studying for their exams?

Students should first read the chapter’s contents in depth. They must practice the examples from the textbook after that. They will learn different methods for dealing with the questions in the chapter as a result of this. They should try the exercises’ questions after finishing the examples. They must make an effort to deal with the problems without turning to the Class 7 Maths Chapter 5 Exercise 5.2 Solutions. When they are finished, they can check their answers by referring to Extramarks’ solutions.

### 4. How can using the NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 help perform better on the exams?

The step-by-step explanations provided by Extramarks’ NCERT Solutions For Class 7 Maths Chapter 5 Exercise 5.2 allow Class 7 students to fully comprehend the questions even if they are answering them for the first time. Some problems also have alternative and less complex solutions, which make it easier to solve them. Students will become familiar with the problems by constantly solving NCERT problems. This will enable students to perform better on their exams.