Question

Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180°.

In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 28° more than the measure of the second angle.

What is themeasure of each angle?

Answer 1

The first one is 76°, second one is 38°, third one is 66°

Explanation:

Suppose the second one is x, given the first one is twice of the second one, so the first one is 2x.

2x+x+(28°+x)=180°

4x=152°

x=38

So, the first one is 76°, second one is 38°, third one is 66°