SOLUTION: the measure of the angle's supplement is 44 less than the measure of the angle. find the measure of the angle's supplement.

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Question 212347This question is from textbook
: the measure of the angle's supplement is 44 less than the measure of the angle. find the measure of the angle's supplement.This question is from textbook

Found 2 solutions by HyperBrain, drj:
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=angle
Then 180-x=supplement of the angle
---
We have the equation:
180-x=x-44
2x=224
x=112 degrees

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
The measure of the angle's supplement is 44 less than the measure of the angle. find the measure of the angle's supplement.

Step 1. Let x be the measure of the angle

Step 2. Let 180-x be the supplement of the angle where by definition when the sum of two angles = 180 then they are supplementary to each other.

Step 3. Given,

180-x=x-44

based on the problem statement that the supplement 180-x is 44 less than angle x.

Now add x+44 to both sides to isolate x in one side.


180-x%2Bx%2B44=x-44%2Bx%2B44

180%2B44=2x

224=2x

x=112

Step 4. Angle x=112 and its supplement is 180-112=68. Note the supplement of 68 is 44 less than the angle 112.

Hope this helps! Good Luck in your studies!! Dr J

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