Solve the problem below using any method. Show all work. Homework Help ✎
Angle A of ΔABC measures 5° more than 3 times the measure of angle B . Angle C measures 20° less than angle B . Find the measure of angles A, B, and C.
Set up equations that represent the information you are given.
What is the sum of the angles within a triangle?
How can you use this to find ∠B?
One you know m∠B, solve for angles A and C.
m∠A = 3m∠B + 5°
m∠C = m∠B − 20°
m∠A + m∠B + m∠C = 180°
(3m∠B + 5°) + m∠B + (m∠B − 20°) = 180°
Solve for B.