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Question 904772: Find the measures of 2 supplementary angles if the measure of the larger angle is 44 more then the measure of the smaller angle.
Answer by AlgebraLady88(44) (Show Source):
You can put this solution on YOUR website! Supplementary angles add up to 180 degrees.
Let's call the smaller angle , x.
The bigger angle is 44 degrees more than the measure of the smaller angle. So, that would make it x+ 44
Since both angles add up to 180 degrees, we have the equation
x + ( x+ 44) = 180
2x + 44 = 180
2x = 180 -44
2x = 136
x = 68
So, the smaller angle is 68 degrees and the bigger angle is 68 + 44 = 112 degrees.
To check,
68 + 112 = 180
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