Question

Among two supplementary angles the measure of the larger angle is 44 more than

the measure of the smaller. Find their measures.


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Answer 1

The smaller angle= 68°

The larger angle=112°

Explanation:

Supplementary angles add up to 180°

Let the smaller of the angles to x then the larger angle will be x+44.

Adding the two then equating to 180°:

x+(x+44)=180

2x+44=180

2x=180-44

2x=136

x=68

The smaller angle= 68°

The larger angle=68+44=112°

Answer 2

The angles are 68° , 112°

Explanation:

Let the smaller angle be x

so the larger angle = x + 44

x , x + 44 are supplementary.

so, x + (x + 44) = 180

x + x + 44 = 180

2x = 180 - 44 = 136

x = 136/2 = 68

the larger angle = x + 44 = 68 + 44 = 112