Question

Find the measure of each labeled angle.

Answer 1

<A=100°

<B=80°

<C=65°

Explanation:

Angles on a straight line add up to 180.

<A+<B=180°

This means that:

`3x - 20 + 2x = 180`

We group similar terms to get:

`3x + 2x = 180 + 20`

Combine the similar terms to get:

`5x = 200`

Divide both sides by 5 to get:

`x = 40`

`m\angle \: A = 3(40) - 20 = 120 - 20 = 100 \degree`

`m \angle \: B = 2(40) = 80 \degree`

`m\angle C=2(40) - 15 = 80 - 15 = 65 \degree`