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:
[tex] x + 3x = 90 [/tex]
Solve for x
[tex] 4x = 90 [/tex]
Divide both sides by 4
[tex] \frac{4x}{4} = \frac{90}{4} [/tex]
[tex] x = 22.5 [/tex]
The measure of the complementary angles are:
x = 22.5°
3x = 3(22.5) = 67.5°
