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 100 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

First Angle=2x
Second Angle=x
Third Angle=x+100
First Angle+Second Angle+Third Angle=180
2x+x+x+100=180
4x+100=180
4x=180-100
4x=80
x=80/4
x=20
First Angle=2x=2(20)=40
Second Angle=x=20
Third Angle=x+100=20+100=120