Question

If ∠A and ∠B are supplementary angles and m∠A = 3m∠B, find m∠A and m∠B.

Answer 1

∠A and ∠B are supplementary so that means they have a sum of 180°.
m ∠A=3(m ∠B) and m ∠B=?

m ∠A + m ∠B=180°
3 (m ∠B) + m ∠B=180°
4 m ∠B=180°
4/4 m ∠B=180°/4
m ∠B=45° and m ∠A=3(m ∠B)=3 (45)=135°