Question

In a​ triangle, the measure of the first angle is twice the measure of the second angle. the measure of the third angle is 80 degrees 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

1st angle = 2 * 2nd angle
3rd angle = 2nd angle + 80

1st angle = 2x

2nd angle = x
3rd angle = 80 + x


2x + x + 80 + x = 180
4x = 100
x = 25

1st angle = 50
2nd angle = 25
3rd angle = 105