SOLUTION: in a triangle the second angle measures four times the first. the measure of the third angle is eighteen degree more than the second. find the measure of the three angles.

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Question 800661: in a triangle the second angle measures four times the first. the measure of the third angle is eighteen degree more than the second. find the measure of the three angles.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
First angle = x
Second angle = 4x
Third angle = 4x + 18
Total degrees in a triangle = 180 degrees
x + 4x + 4x + 18 = 180
Collect like terms;
9x + 18 = 180
9x = 180 - 18
9x = 162
x = 18
First angle = 18 degrees.
Second angle = 72 degrees
Third angle = 90 degrees
Hope this helps.
:-)