Find the measurement of both complementary angles, if one of them is 3 times greater than the other one.

Complementary angles are angles whose sum is 90 degrees.  To solve this problem, we can set up an equation:

x+3x=90

In this equation, x represents the smaller angle, so the second angle is 3 times it (3x), and the sum of the angles is 90.  Now, solve for x.

*Combine like terms*

4x=90

*Divide both sides by 4*

x=22.5

22.5 degrees is the measure of the smaller angle.

However, the question asks for both angles so you also need to find the measure of the larger angle.  This is simple: just multiply the measure of the smaller angle (22.5) by 3:

22.5x3=67.5

67.5 degrees is the measure of the larger angle.

Hope this helps!!

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