Geometry

Question Analysis

The main focus is using the property of cyclic quadrilaterals. In a cyclic quadrilateral (a quadrilateral inscribed in a circle), the opposite angles are supplementary, meaning their sum is . We need to find given .

 

Key Concept Explanation

Cyclic Quadrilateral Property: In a cyclic quadrilateral, the sum of opposite angles is . So, for cyclic quadrilateral , and .

 

Step - by - Step Solution

1. We know that is a cyclic quadrilateral and

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