Q. 315.0( 1 Vote )

# P is the mid-point of side BC of a parallelogram ABCD such that ∠BAP =∠DAP. If AD=10 cm, then CD=A. 5 cmB. 6 cmC. 8 cmD. 10 cm

Given that,

ABCD is a parallelogram

P is the mid-point of BC

DAP =PAB =x

To find: The length of CD

ABP = 180 - 2x (Co interior angle of parallelogram)

APB = 180o - (180o - 2x + x) = x

Therefore,

In triangle ABP,

APB =PAB = x

Therefore,

AB = PB (In a triangle sides opposite to equal angles are equal in length)

CD = AB = PB = = = = 5 cm

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