Question

if two consecutive angles of cyclic quadrilateral are congruent then prove that the one pair of opposite side is congruent and other is parallel​

Answer 1

Answer:

Let’s assume the figure to be trapezium ABCD with AD=BC. In the figure I have drawn, the extension of BC is shown as BCE and to prove that AB is parallel to CD, we must show that angle ABC is corresponding to DCE (or ECD). Once the corresponding angles are shown, the two lines (AB and CD) can be described as parallel.

Answer 2

Full answer with easy steps and clean handwriting....

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