Question

Two angles are complementary. The larger one is 3 times the measure of the

smaller one. What is the measure of the smaller angle in degrees?
Type just the numerical value.

Answer 1

Answer: 22.5°

Explanation:

Complementary angles are the angles that when we add them together, they're equal to 90°.

Let the smaller angle be represented by x.

Then, the larger one will be 3 × x = 3x

We then add both angles together and equate them to 90°. Therefore,

x + 3x = 90°

4x = 90°

x = 90/4

x = 22.5°

The smaller angle is 22.5°