Question

Does anyone know how to solve this?

A triangle has angles described as follows: The measure of the first angle is two more than nine times a number, the measure of the second angle is five less than the first, and the measure of the third angle is 19 times the number more than the second angle. What is the measure of each angle in degrees?​

Answer 1

x = measure of the first angle

2x -5 = measure of the second angle

3x - 19 = measure of the third angle

the sum of the measures of a triangle is 180 degrees

x + (2x-5) + (3x-19) = 180

6x - 18 = 180

x = 33 (first angle)

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

3x - 19 = 3 (33) - 19 = 86 (third angle)