SOLUTION: The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is twice the measure of the first angle. The third angle is eight

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Question 1136972: The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is twice the measure of the first angle. The third angle is eighteen more than the second. Find the measures (in degrees) of the three angles.
Found 3 solutions by josgarithmetic, Alan3354, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
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first          x
second         y
third          y+18
sentence2      y+(y+18)=2x      
SUM           x+y+(y+18)=180


system%282y%2B18=2x%2Cx%2B2y%2B18=180%29
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system%28x-y=9%2Cx%2B2y=162%29
E2-E1:
3y=162-9
3y=153
highlight%28y=51%29
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y%2B18=highlight%2869%29
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x=9%2By
x=9%2B51
highlight%28x=60%29

60, 51, 69

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Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the measures of the angles of a triangle is 180.
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No need to state that. It is always true.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is twice the measure of the first angle. The third angle is eighteen more than the second. Find the measures (in degrees) of the three angles.
Angles are NOT 70o, 51o, and 59o, as reported by the other person!