Question

In triangle ABC, mZA = (5x – 10), mZB = (12x)", and the exterior

angle at C is (16x)".
(122)
15x – 10)
(16x) °
А
С
What is the measure of the exterior angle at C?
PLS HELP

Answer 1

measure of exterior angle at C = 160°

Explanation:

An exterior angle of a triangle equals the sum of the two remote interior angles

A and B are the remote interior angles. So,

m∠A + m∠B = measure of exterior angle at C

5x - 10 + 12x = 16x

17x - 10 = 16x

x = 10

measure of exterior angle at C = 16x = 16(10) = 160°