The Second angle of a triangle is five less than twice that of the first angle and the third angles is 13 less than three times the first angle. Find each angle.

Question

The Second angle of a triangle is five less than twice that of the first angle and the third angles is 13 less than three times the first angle. Find each angle.

Answer 1

Let A,B, and C be the 3 angles

B=2A-5

C=3A-13

A+B+C=180

A+2A-5+3A-13=180

6A=180+13+5=198

A=198/6=33 degrees

B=2A-5=66-5=61 degrees

C=3A-13=99-13=86 degrees

Answer 2

x = measure of first angle

2x -5 = measure of second angle

3x - 13 = measure of third angle

sum of measures of a triangle is 180 degrees so

x + (2x-5) + (3x-13) = 180

6x - 18 = 180

x = 33 (first angle)

2x - 5 = 2(33)-5 = 61 (second angle)

3x - 13 = 3(33) - 13 = 86 (third angle)