Question

Among two supplementary angles the measure of the larger angle is 44 degrees more than the measure of the smaller. Find their measures.

Answer 1

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Let the smaller angle be x,

Thus, the larger angle will be x+ 44

Given that both angles are supplementary,

$= > x + (x + 44) = 180° \\ \\ = > 2x + 44 = 180° \\ \\ = > 2x = 180 - 44 \\ \\ = > 2x = 136 \\ \\ = > x = \frac{136}{2} \\ \\ = > x = 68$

Smaller angle is 68°

Thus,the larger angle will be (x+44) = 68 + 44 =112°

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Answer 2

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