Question

In a​ triangle, the measure of the first angle is twicetwice the measure of the second angle. the measure of the third angle is 80 degrees80° 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 180degrees° to find the measure of each angle.

Answer 1

A = first angle, b = 2nd angle, c = 3rd angle

a = 2b
c = b + 80
a + b + c = 180

2b + b + b + 80 = 180
4b + 80 = 180
4b = 180 - 80
4b = 100
b = 100/4
b = 25 <=== 2nd angle

a = 2b
a = 2(25)
a = 50 <=== 1st angle

c = b + 80
c = 25 + 80
c = 105 <=== 3rd angle