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Question 158825: Could you help with this problem? It is from a worksheet.
The excess of an angle over its supplement is 20 degrees. Find the angle.
I tried x/180-x = 20 It doesn' come out even.
Found 2 solutions by Electrified_Levi, checkley77:
Answer by Electrified_Levi(103)   (Show Source):
You can put this solution on YOUR website! Hi, Hope I can help,
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Could you help with this problem? It is from a worksheet.
The excess of an angle over its supplement is 20 degrees. Find the angle.
I tried x/180-x = 20 It doesn' come out even.
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Supplementary angles always add up to 180 degrees
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first we have to find the variables of the angles
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The excess of an angle over its supplement is 20 degrees (excess means exceeding, or more than)
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One angles would be "x"
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The other angle ( The excess of an angle over its supplement is 20 degrees) is "x+20" ( This angle is 20 degrees more than the first angle "x")
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One angle =  degrees
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The second angle =  degrees
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Now just add the angles together (supplementary angles add up to 180 degrees
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The equation would be  , now just solve for "x"
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=  , add like terms
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=  = 
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Move "20" to the right side
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=  = 
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To solve for "x" we will divide each side by "2"
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=  = 
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x = 
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We can check by replacing "x" with "80" in our equation
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=  =  =  =  (True)
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x =
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Our two angle measurements were: (Replace "x" with "80" )
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One angle = degrees, degrees
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The second angle = degrees,  degrees,  degrees
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The two angles add up to 180 degrees, = (True)
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The two angles are:
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1. degrees
2. degrees, (the first angle's supplement)
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Hope I helped, Levi
Answer by checkley77(12844) (Show Source):
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