find the measure of each angle

Question

In a​ triangle, the measure of the first angle is

three times

the measure of the second angle. The measure of the third angle is

65°

more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is

180°

to find the measure of each angle.

Answer 1

Le the angles be A,B,C:

A = 3B

C = 65 + B

In a triangle sum of A, B and C = 180, that implies A + B + C = 180

3B + B + 65 + B = 180

5B = 115

B = 23

that implies A = 3B = 69 and C = 65 + B = 65 + 23 = 88