The measure of the first angle, second angle and third 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 55 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 degrees to find the measure of each angle.

Answer 1

F=3S

T=55+S

F+S+T = 180

3S +S + 55 +S = 180

5S = 180-55 = 125

S = 125/5 = 25 degrees = 2nd angle

T= 55+25 = 80 degrees = 3rd angle

F =3(25) = 75 degrees = 1st angle