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The measure of an angle whose supplement is three times as large as its complement, is

The measure of an angle whose supplement is three times as large as its complement, is Correct Answer 45°

Given

The measure of an angle whose supplement is three times as large as its complement

Concept used

Supplementary angle : x + y = 180° 

Complimentary angle : x + y = 90° 

Calculation

Let x be the required angle

⇒ 180 - x = 3(90 - x)

⇒ 180 - x = 270 - 3x

⇒ 2x = 90

⇒ x = 90/2

∴ x = 45° 

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