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• Q1

In a parallelogram ABCD. The bisector of A and B meet at O. Measurement of AOB is... Marks:1

90o.

##### Explanation:

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.

• Q2

In the given figure, ABCD is a parallelogram. Then the angle measures x, y and z are Marks:1

130o, 20o and 30o.

##### Explanation:

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 • Q3

Which of the following statement is false in the following statements?

Marks:1

The adjacent angles in a parallelogram are complementary.

##### Explanation:

We know that “The adjacent angles in a parallelogram are supplementary”.

• Q4

The value of the variable x and y in the given kite are respectively Marks:1

5 and 9.

##### Explanation:

As ABCD is a kite, 2y + 4 = 3Y – 5 y = 9

Again, 2x + 5 = y + 6           (AB = AD) x = 5

Therefore, x = 5 and y = 9.

• Q5

In given figure, if ∠ADE = ∠ABC, then quadrilateral BCED is a

Marks:1
If ADE = ABC, then DE || BC