The measure of an angle is 34 greater than its supplement. Find the measure of both angles

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leahmcham2 leahmcham2

22-08-2022
Mathematics

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The measure of an angle is 34 greater than its supplement. Find the measure of both angles

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jaliabrayboy99 jaliabrayboy99 · Answer 1 · 2022-08-22T22:52:13+02:00

jaliabrayboy99 jaliabrayboy99

22-08-2022

Let the angle be X degree.

Then it’s supplement is (189-X) degree

Given that , Angle - supplement = 30

Or , X- 180-x)=30

or , X- 180 + X = 30

2X - 180 = 30

X=30+180/2

X=210/2

X=105

Now ,

180-X=180–105=75

Hence , the angles are 105 and 75 degrees.

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