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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:

The sum of the complementary angles is 90° 

The sum of the supplementary angle is 180° 

Calculation:

Let the angle be x.

Supplement angle = 180° - x

Complement angle = 90° - x

Given that,

The Supplement angle four times of complement angle,

⇒ (180 - x) = 4 × (90° - x)

⇒ 180 - x = 360 - 4x

⇒ 3x = 180

⇒ X = 60°

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