Prove a cyclic parallelogram is rectangle

CBSE Class 9 CBSE Class 9 Maths
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1

Prove a cyclic parallelogram is rectangle

2

Combine the two properties -

  1. Opposite angles of a parallelogram are equal.
  2. Opposite angles of a cyclic quadrilateral are supplementry.

It means each of opposite angles of a cyclic parallelogram is a right angle (180 / 2 = 90 degree).
So, all angles are right angles in cyclic parallelogram which makes it a rectangle.