Question

The measure of the largest angle of a triangle is 80º more than the measure of the smallest angle, and the measure of the remaining angle is 10º more than the measure of the smallest angle. Find the measure of each angle.

Answer 1

L = S + 80
180 - L - S = S + 10 simplify: L = 180 - 2S - 10
L = 170 - 2S = S + 80
3S = 90
S = 30 L = 110 3rd angle = 40