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.

Question

Aubrie Berg

Mathematics

19 January, 22:20

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.

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Jayden Rose · 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