Example 1
An angle's measure is 6x + 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 2x + 5 degrees, respectively. What are the measurements of these angles?
Example 3
Vertical angles have measurements of 3x – 2 and 2x + 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 – 3x. How long is the segment?
Example 6
An angle is eight times larger than its complement. What are the measures of both angles?