Question

In ABC, the measure of the largest angle is 16 less than 4 times the smallest angle. The measure of the middle angle is 7 more than half the measure of the largest angle. What is the measure of the middle angle?

Answer 1

Explanation:

Let A ≤ B ≤ C

largest angle is 16 less than 4 times the smallest angle

C = 4A-16

middle angle is 7 more than half the measure of the largest angle

B = C/2 + 7

A+B+C = 180°

A = 28 ⅐°

B = 55 2/7°

C = 96 4/7°