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Question 156018: two angels are suplementary, if the larger angle is 15º more than twice the smallest angle, find the neasure of both angles.
Answer by Electrified_Levi(103)   (Show Source):
You can put this solution on YOUR website! Hi, Hope I can help,
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two angles are supplementary, if the larger angle is more than twice the smaller angle, find the measure of both angles.
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All Supplementary angles add up to 180º
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First, we have to assign variables to both angles
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We can use "x" as one angle, the smaller angle,
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If the larger is 15º more than twice the smaller angle(x)
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This is how you write the larger angle =  (smaller angle = "x") =  = 
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Smaller angle = "x"
Larger angle = "2x + 15"
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Since these angles add up to be 180º we need to add the two angles together
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Now just solve for "x", we will get rid of the parentheses
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We will add like terms
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= 
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we will move "15" to the right side
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 = 
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We will now divide each side by "3" to get "x"(our smaller angle)
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 = 
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"x" = 55
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Smaller angle = "x", or 55º
Larger angle = "2x + 15", (replace "x" with 55), =  =  , Larger angle = 125º
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We can check by replacing "x" with 55 in our equation
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= 
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= 
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= 
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=  ( True)
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Smaller angle = 55º
Larger angle = 125º
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Hope I helped, Levi
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