### Home > INT2 > Chapter 7 > Lesson 7.1.3 > Problem7-45

7-45.

Examine the geometric relationships in each of the diagrams below. For each one, write an equation and solve for the value of the variable. Name all geometric relationships or theorems that you use.

1. What is the sum of the two angles?

$x = 18.4^\circ$ (complementary angles)

1. The interior angles of a triangle add up to how many degrees?

1. What is true about the measures of vertical angles?

1. These are similar triangles, so write a proportion using the ratios of the corresponding sides.

$\frac{x}{16}=\frac{8}{13}$