### Home > GC > Chapter 11 > Lesson 11.1.1 > Problem 11-10

11-10.

For each of the relationships represented in the diagrams below, write and solve an equation for and/or

*. Justify your method. In part (a), assume that*

*is the center of the circle.*

because is a diameter The intercepted arc is twice the inscribed angle

One equation could be:

Which angles are supplementary? This will help you write equations to solve for

and.

Use the Law of Sines.

,

Use the Triangle Angle Sum Theorem.