Question

Write an equation that will solve this problem: Two angles are supplementary. If the measure of the second angle is 3 times the sum of the measure of the first angle and 25, find the measures of the two angles.

Answer 1

x = measure of 1st angle
y = measure of 2nd angle

x + y = 180

y = 3(x+25)

Therefore,

x + 3(x+25) = 180
x + 3x +75 = 180
4x = 105
x = 26.25

So the measure of the 1st angle is 26.25 and the 2nd is 153.75