TABLE OF CONTENTS
An angle's measure is 6x + 9. If its complement is 27°, what is the value of x?
We're looking for x and not the value of the overall angle.
x = 9
Two complementary angles, ∠ABC and ∠CBD, have measurements of x + 7 and 2x + 5 degrees, respectively. What are the measurements of these angles?
What is the relationship between complementary angles?
m∠ABC = 33°, m∠CBD = 57°
Vertical angles have measurements of 3x – 2 and 2x + 28. What are the measurements of these angles?
Vertical angles are always what?
Both angles have measures of 88°.
Two supplementary angles have measurements of x + 30 and 3x⁄2. What are the measurements of both angles?
Supplementary angles must add up to 180°.
Both angles are 90°.
A segment is bisected into pieces measuring x + 2 and 42 – 3x. How long is the segment?
The question asks how long the entire segment is, not just the pieces.
The segment is 24 units long.
An angle is eight times larger than its complement. What are the measures of both angles?
How can we make this into an algebraic expression?
The angles are 10° and 80°.