Question

Find the measure of each labeled angle.

Answer 1

Answer:

<A=100°

<B=80°

<C=65°

Step-by-step 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:

$x = 40$

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

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

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