Geometry

Question Analysis

The main focus is using the property that a tangent to a circle is perpendicular to the radius at the point of tangency. Since  is tangent to , we know . Then, we can use the angle - sum property of a triangle in  to find .

 

Key Concept Explanation

Tangent - radius property: A tangent to a circle is perpendicular to the radius at the point of tangency, so .

Triangle angle - sum theorem: The sum of the interior angles of a triangle is .

 

Step - by - Step Solution

1. In , we know that  and  (because  is tangent to

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