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(10682) About Me  (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

x+%2B+x%2F2+%2B+%283%2F2%29x+=+180

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