From a point outside a circle with center , tangents and are drawn to the circle. The line segment formed by joining the points and intersect the line segment at . Find the measure of .
Answer:
- Given:
and are the tangents to the circle from an external point .
To find:
The measure of . - In and , we have Thus,
- As the corresponding parts of congruent triangles are equal, and
Also, - Therefore, the measure of is .