SOLUTION: Two angles of a triangle have equal measures, but the thirds angle's measure is 36 degrees less than the sum of the other two. Find the measure of each angle of the triangle.

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Question 175050: Two angles of a triangle have equal measures, but the thirds angle's measure is 36 degrees less than the sum of the other two. Find the measure of each angle of the triangle.
Answer by actuary(112) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the measure of the internal angles of a triangle is 180 degrees.
The equation that describes the situation in the problem is
x + x + (x + x -36) = 180 degrees where x is the measure of the angles with equal measure.
Adding like terms, we have 4x-36=180
So 4x=216 degrees
Solving for x, we have x = 216/4 = 54 degrees

So the measure of the 3 angles of the triangle are:
54, 54, 72 degrees
I hope that this helps.