Question

the second angle of a triangle measures three times as large as the first, if the third angle measures 55 degrees more than the first, find the measure of all threeangles

Answer 1

M represents measure of first angle
3m represents measure of second angle
m + 55 represents measure of third angle

Sum of angles equals 180°

m + 3m + m + 55 = 180 combine like terms
5m + 55 = 180 subtract 35 from both sides
5m = 125
m = 25

The three angles are 25, 75, and 80.

Check
29 + 75 + 80 = 180
180 = 180