Question

prove opposite angle of parrallogram are equal​

Answer 1

Answer:

If the opposite angles in a quadrilateral are equal, then it is a parallelogram. Assume that ∠A = ∠C and ∠B = ∠D . We have to prove that ABCD A B C D is a parallelogram. and thus, ABCD A B C D is a parallelogram

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Answer 2

Step-by-step explanation:

To prove that the opposite angles of a parallelogram are equal.

Construction: Draw a parallelogram ABCD. Join BD.

Proof: In triangle ABD and BCD

AB = CD [opposite sides of the parallelogram]

BC = DA [opposite sides of the parallelogram]

BD is common

So triangles ABD and BCD are congruent.

Hence <A = <C , sides opposite BD.

Similarly <B = <D.

Therefore, the opposite angles of a parallelogram are equal.

Proved.