SOLUTION: How much larger is the supplement of a 67 degrees angle than the complement of 83 degrees angle?

Question 596079: How much larger is the supplement of a 67 degrees angle than the complement of 83 degrees angle?
Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!
Hi, there--
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We need to be clear about some definitions to solve this problem. (Mathematicians love their definitions!)
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Two angles are COMPLEMENTS if the sum of their measures is 90 degrees.
Two angles are SUPPLEMENTS if the sum of their measures is 180 degrees.
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The supplement of a 67-degree angle is a 113-degree angle because 67+113=180.
The complement of a 83-degree angle is a 7-degree angle because 83+7=90.
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To find out how much larger 113 degrees is than 7 degrees, we subtract:

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The supplement is 106 degrees larger than the complement.
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Hope this helps! Feel free to email if you something doesn't not make sense.
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Ms.Figgy
math.in.the.vortex@gmail.com
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