### Home > GC > Chapter 10 > Lesson 10.2.1 > Problem 10-59

10-59.

In the diagram at right, is a diameter of

*and*

*, use the relationships shown in the diagram to solve for the quantities listed below.*

Start by finding the measure of

. Use the Inscribed Angle Theorem, explained in the Math Notes box in Lesson 10.1.3, to determine the measure of

. Since

is a right triangle:

length of the radius of

Use the diameter,

, to find the radius.

Use trigonometry to find the measures of the acute angles in

.