# Algebra in Geometry Exercises

### Example 1

An angle's measure is 6*x* + 9. If its complement is 27°, what is the value of *x*?

### Example 2

Two complementary angles, ∠*ABC* and ∠*CBD*, have measurements of *x* + 7 and 2*x* + 5 degrees, respectively. What are the measurements of these angles?

### Example 3

Vertical angles have measurements of 3*x* – 2 and 2*x* + 28. What are the measurements of these angles?

### Example 4

Two supplementary angles have measurements of *x* + 30 and ^{3x}⁄_{2}. What are the measurements of both angles?

### Example 5

A segment is bisected into pieces measuring *x* + 2 and 42 – 3*x*. How long is the segment?

### Example 6

An angle is eight times larger than its complement. What are the measures of both angles?