Question

the measure of an angle is four time the measure of.its complement angle. Then, the measure of that angle is __ ​

Answer 1

180 - x = 4(90-x) (supplementary angles add together to make 180 degrees. Complementary create 90 degrees. This particular angle's supplementary's partner is 4 times as large as its complementary's partner)

 

180 - x = 360 - 4x

180 + 3x = 360

3x = 180

x = 60

 

Let's check

180 - 60 = 120

So the supplementary angle is 120.

 

90 - 60 = 30

So the complementary angle is 30.

4 * 30 = 120

Four times the complementary is equal to the supplementary.

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