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:
[tex]3x - 20 + 2x = 180[/tex]
We group similar terms to get:
[tex]3x + 2x = 180 + 20[/tex]
Combine the similar terms to get:
[tex]5x = 200[/tex]
Divide both sides by 5 to get:
[tex]x = 40[/tex]
[tex] m\angle \: A = 3(40) - 20 = 120 - 20 = 100 \degree[/tex]
[tex]m \angle \: B = 2(40) = 80 \degree[/tex]
[tex]m\angle C=2(40) - 15 = 80 - 15 = 65 \degree[/tex]
