Q. 23.7( 24 Votes )

In 􀀍ABCD, side BC || side AD, side AB sided DC If A = 72° then find the measures of B, and D.

Answer :

Given that BC AD and BC = AD (congruent)

the quadrilateral is a parallelogram (pair of opposite sides are equal and parallel)

A = 72°

C = 72° (opposite angles of parallelogram are congruent)

B = 180° 72° = 108° (adjacent angles of a parallelogram are supplementary)

D = 108° (opposite angles of parallelogram are congruent)

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