If the ratio of the measure of the complement of an angle to the measure of its supplement is 1:3, find the measure of the angle.

Question

Finn Simon

Mathematics

2 January, 03:56

If the ratio of the measure of the complement of an angle to the measure of its supplement is 1:3, find the measure of the angle.

+3

Answers (1)

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Avery Curtis · Answer 1

Set up and solve an equation:

3 (90-x) = (180-x). Then 270 - 3x = 180 - x, or 270 - 180 = 2x.

90 = 2x, so x = 45 deg.

Is this true? 3 (90-45) = (180-45) ? If so, x = 45 degrees is correct.