Geometry

Question Analysis

The main focus is using the property that opposite angles in a cyclic quadrilateral are supplementary. Given , we need to find as they are opposite angles in the cyclic quadrilateral .

 

Key Concept Explanation

Cyclic Quadrilateral Property: In a cyclic quadrilateral (a quadrilateral inscribed in a circle), the sum of opposite angles is .

 

Step - by - Step Solution

1. Since is a cyclic quadrilateral and , and and are opposite angles.

2. By the cyclic - quadrilateral property, we have

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