SOLUTION: If the measure of the third angle of the triangle is 30 degrees more than twice the measure of either of the other two angles. Find the measure of each angle of the triangle

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Question 261672: If the measure of the third angle of the triangle is 30 degrees more than twice the measure of either of the other two angles. Find the measure of each angle of the triangle
Answer by CharlesG2(834) About Me  (Show Source):
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If the measure of the third angle of the triangle is 30 degrees more than twice the measure of either of the other two angles. Find the measure of each angle of the triangle
the sum of the angles in a triangle is 180 degrees
angle A, angle B, angle C
A + B + C = 180
C = 2 * A + 30
C = 2 * B + 30
2 * A + 30 = 2 * B + 30
2 * A = 2 * B
A = B
2 * A + 2 * A + 30 = 180
4 * A = 150
2 * A = 75
A = 37.5
B = 37.5
C = 2 * 37.5 + 30 = 75 + 30 = 105