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Problema Solution

The supplement of and angle measure 10 degrees more than twice its complement. Find the measure of the angle, its supplement, and its complement.

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Answer provided by our tutors

Two Angles are Complementary when they add up to 90 degrees.

Two Angles are Supplementary when they add up to 180 degrees.

Let 'x' represent the measure of the angle.

The supplement of the angle is: 180 - x

The complement of the angle is: 90 - x

180 - x = 10 + 2(90 - x)

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click here to see the equation solved for x

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x = 10 degrees

The measure of the angle is 10 degrees.

180 - 10 = 170 degrees

The measure of its supplement is 170 degrees.

90 - 10 = 80 degrees

The measure of its complement is 80 degrees.