Question

12. Prove that a cyclic parallelogram is a rectangle.
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Answer 1

In a cyclic parallelogram the opposite side must be equal to 180°

In a parallelogram the opposite angles are equal.

Therefore,

In a cyclic parallelogram the opposite angles should be equal and their sum must be 180°.

Let the opposite angles be x

APQ

x+x=180

2x=180

x=90°

The the cyclic parallelogram has one of the angles as 90°.

Therefore the cyclic parallelogram is a rectangle.

Hope you will understand...Thank You....