SOLUTION: The supplement of an angle is ten times as large as the complement. Find the original angle

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Question 551073: The supplement of an angle is ten times as large as the complement. Find the original angle
Found 2 solutions by Alan3354, nyc_function:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The supplement of an angle is ten times as large as the complement. Find the original angle
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A + 10A = 90
A = 90/11 degs

Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = original angle

(180 - x) = 10(90 - x)

180 - x = 900 - 10x

180 - 900 = -10x + x

-720 = -9x

-720/-9 = x

80 = x

The Prove:

Let x = 80

180 - x = 10(90 - x)

180 - 80 = 10(90 - 80)

100 = 10(10)

100 = 100

The original angle is 80 degrees.