3 times the complement of an angle is 30 more than the supplement of the original angle. What is the measure of the angle? 15° 3

Question

True [87]

3 years ago

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3 times the complement of an angle is 30 more than the supplement of the original angle. What is the measure of the angle? 15° 3

0° 60° 90°

Mathematics

1 answer:

labwork [276] · Answer 1 · 2022-02-19T15:45:46+03:00

1. By definition, the sum of the Suplementary angles is 180° and the sum of the Complementary angles is 90°. Keeping this on mind, you have:

90-x (The complement of the angle)
180-x (The sumplement of the angle)

"x" is the angle that you want to calculate.

2. Then, you have:

3(90-x)+30=180-x
(270-3x)+30=180-x
300-3x=180-x
300-180=-x+3x
120=2x
120/2=x
x=60°
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What is the measure of the angle?</span>

The answer is: The measure of the angle is 60°.