SOLUTION: Find the measures of the angles of a triangle if the measure of the 1st triangle is twice the measure of the second angle and the third angle is 36 degrees more than the second ang

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Question 285797: Find the measures of the angles of a triangle if the measure of the 1st triangle is twice the measure of the second angle and the third angle is 36 degrees more than the second angle.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
i assume that there is a typo and that it should read" Find the measures of the angles of a triangle if the measure of the 1st "angle" is twice the measure of the second angle and the third angle is 36 degrees more than the second angle.
a, b and c
where
a=2b
c=36+b
so we have
a+b+c=180
by substitution
2b+b+36+b=180
4b+36=180
4b=144
4b=4*3*12
b=36
a=72
c=72