Question

Find the measures of the complementary angles that satisfy each case. One of the angles is 3 times larger than the other.

Answer 1

Answer:

22.5° and 67.5°

Step-by-step explanation:

The sum of complementary angles equal 90°.

Given that one of the complementary angles is 3 times larger than the other, let "x" represent the other angle.

Thus, the following expression can be written to represent this case:

$x + 3x = 90$

Solve for x

$4x = 90$

Divide both sides by 4

$\frac{4x}{4} = \frac{90}{4}$

$x = 22.5$

The measure of the complementary angles are:

x = 22.5°

3x = 3(22.5) = 67.5°