Question 1136934
let A be the first angle and B be the second angle and C be the third angle.


A = 3B - 50
C = B - 25


A + B + C = 180 becomes 3B - 50 + B + B - 25 = 180


combine like terms to get 5B - 75 = 180


add 75 to both sides of the equation to get 5B = 255


solve for B to get B = 255 / 5 = 51.


A = 3B - 50 = 3 * 51 - 50 = 153 - 50 = 103


C = B - 25 = 51 - 25 = 26


the angles are A = 103 and B = 51 and C = 26


A + B + C = 103 + 51 + 26 = 180
103 = 3 * 51 - 50 = 153 - 50 = 103
26 = 51 - 25 = 26


all problem statements are confirmed to be satisfied, confirming the solution is good.


the solution is measure of the first angle is 103 and measure of the second angle is 51 and measure of the third angle is 26.