### Home > CCG > Chapter 6 > Lesson 6.2.3 > Problem 6-74

6-74.

For each diagram below, use geometric relationships to solve for the given variable(s). Check your answer.

The angle that is

and the angle are complementary.

Complementary means the angles add up to _____

Adjacent angle pairs that form a straight line are supplementary and base angles of an isosceles triangle are congruent.

First solve for

, then solve for.

Since the triangle is isosceles, start by solving for

.

Next, solve for the unknown interior angle.

Then use the Law of Sines to solve for.Refer to the Math Notes box in Lesson 5.3.2 if you need help remembering the Law of Sines.