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laiz [17]
3 years ago
9

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

Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0

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°

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