SOLUTION: A, B, and C are the interior angles of a triangle. If B measures the double of angle A and angle C measures 1.5 times angle B. Find the measure of angle C. (A+B+C=180)

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Question 358317: A, B, and C are the interior angles of a triangle. If B measures the double of angle A and angle C measures 1.5 times angle B. Find the measure of angle C.
(A+B+C=180)

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
Let x be the mesure of angle B. Then angle A= x/2 and angle C= 1.5x

2x + x + 3x = 360
6x = 360
x = 60 degrees the measure of angle B
The measure of angle C = 1.5*60 = 90 degrees
checking our answer
60 + 30 + 90 = 180 = 180
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