### Home > INT2 > Chapter 10 > Lesson 10.2.5 > Problem 10-108

10-108.

Solve for the variables in each of the diagrams below. Assume point is the center of the circle in part (b).

By

, the two triangles are congruent. Therefore, the corresponding angles of the two triangles are also congruent, which means the values of the angles are equal to , (half the value of the original ), and (half the original value of ).By the Law of Sines:

The two triangles are similar, which means: