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)
Algebra ->
Customizable Word Problem Solvers
-> Geometry
-> 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)
Log On
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):
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
