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° 30° 60° 90°

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joshuasparks1999 joshuasparks1999

01-03-2018
Mathematics

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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° 30° 60° 90°

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carlosego carlosego · Answer 1 · 2018-03-11T00:52:43+01:00

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°

What is the measure of the angle?

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