Two angles are supplementary. The measure of the larger angle is 36 more than the measure of the smaller angle. Find their measures. the answers are 72° and 108° but I need help showing my work​

x = smaller angle

x+36 = larger angle, since its 36 degrees more than the smaller angle

The two angles x and x+36 must add to 180 if they are to be supplementary (aka form a straight line)

So this means we can say the following:

(smaller)+(larger) = 180

(x) + (x+36) = 180

2x+36 = 180

2x = 180-36

2x = 144

x = 144/2

x = 72 is the smaller angle

x+36 = 72+36 = 108 is the larger angle

As a check:

smaller+larger = 72+108 = 180

which shows they are supplementary and it confirms our answers

d

step-by-step explanation:

d

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