find the three angles

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 degrees 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 degree to find the measure of each angle

Answer 1

Let x=measure of the 2nd angle.

Then 3x=measure of the 1st angle

And x+ 65=measure of 3rd angle.

Therefore, (x)+(3x)+(x+65)=180,

From which 5x+65=180, 5x=115, and x=23 degrees for the 2nd angle

The measure of the 1st angle is, thus, 69 degrees and the measure of the third angle is 88 degrees.