Question
If the supplement of an angle is three times its complement, find the angle.
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Answer
Let the measure of the angle be x°.$\therefore$ Its supplement will be (180 - x)°.
And its complement will be (90 - x)°. It is given that (180 - x)° = 3(90 - x)° ⇒ 180 - x = 270 - 3x ⇒ 2x = 90 ⇒ x = 45$\therefore$ The measure of the angle will be 45°.
And its complement will be (90 - x)°. It is given that (180 - x)° = 3(90 - x)° ⇒ 180 - x = 270 - 3x ⇒ 2x = 90 ⇒ x = 45$\therefore$ The measure of the angle will be 45°.
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