Question

In the given figure AB=AE and ∠ BCD=120°. Find the measure of ∠EAD.

Answer 1

angle ABC = 180-120 ( adjacent side of a parellellogram)

= 60°

hence AB=AE

angle ABC and angle AEB are equal.

(angle opposite to equal sides are equal).

angle AEB = 60°

therefore,

angle BAE = 60° (angle sum)

so,

angle EAD = 180-60

= 120° ( opposite angles of the parallelogram are equal)

hence proved..

hope it helps

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Answer 2

Answer:

A =80

2B+A=180

2B=100

B=50

D=(180-50)=130