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 three times the measure of the first angle. The third angle is

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Question 1136971: 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 three times the measure of the first angle. The third angle is fifteen more than the second. Find the measures (in degrees) of the three angles.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
first         x
second        y
third         z=y+15
sentence2     y+z=3x
SUM          x+y+z=180

x%2By%2B%28y%2B15%29=180
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y-z=-15


system%283x-y-z=0%2Cy-z=-15%2Cx%2By%2Bz=180%29
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system%283%28180-y-z%29-y-z=0%2Cy-z=-15%29

system%28540-3y-3z-y-z=0%2Cy-z=-15%29

system%28540-4y-4z=0%2Cy-z=-15%29

system%28135=y%2Bz%2Cy-z=-15%29

system%28y%2Bz=135%2Cy-z=-15%29

E1%2BE2:
highlight%28y=60%29
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highlight%28z=75%29
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x=180-60-75
highlight%28x=45%29