Geometry

Question Analysis

The main focus is applying the properties of tangents and the angle - sum property of a quadrilateral. Since  and  are tangent to , we know . We'll use the angle - sum property of quadrilateral  to find .

 

Key Concept Explanation

Tangents to a circle are perpendicular to the radii at the points of tangency, so . In quadrilateral , the sum of interior angles is , which helps us find .

 

Step - by - Step Solution

1. Recall the angle - sum property of a quadrilateral: .

2. Substitute