Question

What is the measure of

Answer 1

m∠B = 105°

Explanation:

Given

• A = x+5

• B = 3x

• C = x

We know that the sum of angles in a triangle = 180°

A + B + C = 180°

x + 5 + 3x + x = 180°

5x + 5 = 180°

5x = 180° - 5

5x = 175

x = 175 / 5

x = 35

Thus, the measure of ∠B will be:

m∠B = 3x

= 3(35)

= 105°

m∠B = 105°