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Twice the complement of an angle is 25 less than three times the angle. Find the measure of both angles.

1 Answer

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Answer:

The measures of the angles are 41° and 49°

Explanation:

The complement of an angle is (90 - x)

The angle is x

Write the equation:

2(90 - x) = 3x - 25

180 -2x = 3x - 25

180 = 5x - 25

205 = 5x

41 = x

one angle = 41

the other angle = (90 - x)

= (90 - 41) = 49

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