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19 votes
19 votes
Two angles are supplementary. The difference of the angle measures is 74​°. Find the measure of each angle.

User BHS
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1 Answer

11 votes
11 votes

Answer:

The angles are 53° and 127°.

Explanation:

Supplementary angles add up to 180°. So now that we know that, we must now use algebra.

I will use x and x-74 in my equation.

So the equation:

x+x-74=180.

=2x-74=180

2x=180+74

2x=254

x=127​°

So the other angle is 127-74=53

The angles are 53 and 127.

User John Lexus
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