Geometry

Question Analysis

The main focus is using the property that opposite angles in a cyclic quadrilateral are supplementary. We are given expressions for and , and we need to find the value of first to determine .

 

Key Concept Explanation

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

 

Step - by - Step Solution

1. Since is a cyclic quadrilateral, by the cyclic - quadrilateral property, we have .

Substitute and into the equation: