A cyclic quadrilateral is a four-sided figure whose vertices lie in side and touch the circumference of the circle. The opposite angles of C Cyclic quadrilateral lie in the opposite segment of the circle
Theorem 3
Opposite angles of a cyclic quadrilateral are supplementary.
Given: A cyclic quadrilateral PQRS
Proof; P Ô R = 2y (< at Centre = twice ∝ on the circumf.)
∴ 2x + 2y = 360o (<s at a point)
2(x +y) = 360o
X + y = 180o
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