Question

The sum of the measures of two complementary angles is 90°. If one angle measures 27° more than twice the measure of the other, find the measure of the smaller angle.

The smaller angle measures ____ Degrees

Answer 1

21°

Explanation:

Let smaller angle be x

Bigger angle = 2x + 27

Since they are complementary they all sum up to 90°

Therefore 2x + 27 + x = 90

3x = 90 - 27

3x = 63

x = 21, therefore the smaller angle is 21°