In triangle ABC, angle B is 2.5 times greater than angle A, and angle C is 24 degrees less than angle B, find angle C.

The solution of the problem:

1. Angle C – x degrees.

angle B – x + 24 degrees.

angle A – (x + 24) / 2.5 degrees.

2. Let’s compose and solve the equation.

180 = x + x + 24 + (x + 24) / 2.5;

180 * 2.5 = 2.5x + 2.5x + 24 * 2.5 + x + 24;

450 = 6x + 60 + 24;

450 – 60 – 24 = 6x;

6x = 366;

x = 366: 6;

x = 61.

3. Angle C is equal to 61.

Answer: Angle C is 61.