### Home > INT2 > Chapter 12 > Lesson 12.2.3 > Problem 12-114

12-114.

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 .