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Home > GC > Chapter 6 > Lesson 6.1.2 > Problem 6-17

6-17.

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°

Substitute.
(3m∠B + 5°) + m∠B + (m∠B − 20°) = 180°

Solve for B.