Types of Quadrilaterals
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In a parallelogram ABCD. The bisector of ∠A and ∠B meet at O. Measurement of ∠AOB is...
We know that adjacent angles are supplementary in a parallelogram.
Therefore, A + B = 180o ...(1)
Ondividing both sides by '2' we get
OAB + ABO = 90o ...(2)
In triangle AOB,
OAB + ABO + AOB = 180o
i.e., AOB = 90o.
In the given figure, ABCD is a parallelogram. Then the angle measures x, y and z are
130o, 20o and 30o.
ABCD is gram.
ABC + CBE = 180
ABC = 180 - 50 = 130
ABC = ADC = x = 130
DAC + CAB = CBE
z = CAB = 50 - DAC = 50 - 20 = 30
CAB + ABC + ACB = 180
30 + 130 + ACB = 180
ACB = 180- 160 = 20
y = 20
x = 130, y = 20, z = 30
Which of the following statement is false in the following statements?Marks:1
The adjacent angles in a parallelogram are complementary.
We know that “The adjacent angles in a parallelogram are supplementary”.
The value of the variable x and y in the given kite are respectively
5 and 9.
As ABCD is a kite,
BC = AD
2y + 4 = 3Y – 5
y = 9
Again, 2x + 5 = y + 6 (AB = AD)
x = 5
Therefore, x = 5 and y = 9.
In given figure, if ∠ADE = ∠ABC, then quadrilateral BCED is aMarks:1
If ADE = ABC, then DE || BC
So, quadrilateral BCED is a trapezium.