Question

In a​ triangle, the measure of the first angle is three timesthree times the measure of the second angle. the measure of the third angle is 65 degrees65° 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 180degrees° to find the measure of each angle.

Answer 1

1st angle = 3x

2nd angle = x

3rd angle = 65 +x

3x + x +65+x = 180

5x+65 = 180

5x=115

x = 115/5 = 23

 2nd angle = 23 degrees

 1st angle = 23 x 3 = 69 degrees

3rd angle = 65 +23 = 88 degrees