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What is the measure of the angle whose supplement is four times its complement?

User Tomis
by
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2 Answers

5 votes

Answer:

60⁰

Explanation:

Angle = x

Supplement = 180 - x

Complement = 90 - x

Given :

180 - x = 4(90 - x)

180 - x = 360 - 4x

3x = 180

x = 60⁰

User Jacob Foshee
by
8.7k points
4 votes

180-x=4(90-x)

180-x=360-4x

3x=180

x=60 degrees (the angle)

User Vinod Bhavnani
by
8.3k points