SOLUTION: In a triangular cross section of a roof, the second angle is twice as large as the first. The third angle is 20 greater than the first angle. How large are the angles? first angle

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Question 365989: In a triangular cross section of a roof, the second angle is twice as large as the first. The third angle is 20 greater than the first angle. How large are the angles?
first angle=x
second angle = 2x
third angle = x+20
Answer by Theo(13342) About Me  (Show Source):
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sum of the angles of a triangle is 180.
first angle is x.
second angle is 2*x
third angle is x + 20.

x + 2*x + x + 20 = 180

combine like terms to get 4*x + 20 = 180

subtract 20 from both sides of the equation to get:

4*x = 160

divide both sides of the equation by 4 to get:

x = 160/4 = 40

the first angle is 40 degrees.
the second angle is 80 degrees.
the third angle is 60 degrees.

40 + 80 + 60 = 180 degrees.