Question

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 14 more than the second.

Answer 1

A+B+C=180
B+C=5A
B+14=C

-5A + B + C = 0
Times -1
5A - B - C = 0
+
A + B + C = 180
6A = 180
A = 30

B + (B+14) =5(30)
2B + 14 = 150
2B = 136
B = 68

(68) + 14 = C
C = 82

(30,68,82)