Two angles are complementary. The measure of one angle is 10 degrees more than three times the measure of the other angle. What is the measure of the smaller angle?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 20°.
Let smaller angle = x
Larger angle = 3x + 10°
Complementary angles are two angles whose measures sum to 90°.
x + (3x + 10°) = 90°
⇒ 4x + 10° = 90°
⇒ 4x = 80°
⇒ x = 20°