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The measure of an angle for which the measure of the supplement is four times the measure of the complement is 

The measure of an angle for which the measure of the supplement is four times the measure of the complement is  Correct Answer 60°

Concept used:

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

Calculation:

Let the angle be x

So its complement angle will be = 90° - x

So, its supplement angle will be = 180° - x

Given, that the supplement is 4 times its complement

According to the question

⇒ 180° - x = 4 (90° - x)

⇒ 180 - x = 360° - 4x

⇒ 4x - x = 360° - 180°

⇒ 3x = 180°

⇒ x = 180°/3

⇒ x = 60°

Related Questions

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