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37 votes
37 votes
An angle measures 56° less than the measure of its supplementary angle. What is the measure of each angle?​

User Okie
by
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1 Answer

11 votes
11 votes

Answer:

118, 62

Explanation:

We can set a system of equations where x and y are the two angles and x is the larger one

x+y=180

x-y=56

If we subtract the second equation from the first, we get 2y=124, simplifying that, we get y=62. Plugging it into either equation, we get x=118. We can check that 118 is 56 larger than 62, which it is. Thus, x=118, y=62.

User Jason Holloway
by
3.2k points
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