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.

22.5°

Step-by-step 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°

Let the smaller angle be x, then

x + 3x = 90

4x = 90

x = 90/4

x = 22.5°

Hence, Measure of smaller angle is 22.5°.

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