### 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 measure of the intercepted arc is twice the measure of 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.