One angle is eight times it’s supplement increased by 45 degrees. What is the measures of the two supplementary angles?

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asked Jan 21, 2019 212k views

1 Answer

Michael Commons · Answer 1 · 2019-01-26T13:53:37+0000

Angle 1 = 8x + 45
Angle 2 = x

x + 8x + 45 = 180
combine like terms

9x + 45 = 180
subtract 45 from both sides

9x = 135
divide both sides by 9 to isolate x

x = 15

Angle 1 = 8(15) + 45 = 165 degrees
Angle 2 = 15 degrees

One angle is eight times it’s supplement increased by 45 degrees. What is the measures of the two supplementary angles?

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