The sum of the measures of a complement and a supplement of an angle is 240°. What is the measure of the angle? Explain your reasoning.​



Answer :

The measure of the angle is 15°.

What are Complementary and Supplementary Angles?

Complementary angles have a sum of 90 degrees and supplementary angles have a sum of 180 degrees.

Let the angle be x.

Complement of x = 90 - x

Supplement of x = 180 - x

Their sum is as follows:

90 - x + 180 - x = 240

270 - 2x = 240

-2x = 240 - 270

-2x = -30

x = 15

The measure of the angle is 15°.

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