In triangle ABC, angle A is 24, angle C is twice the angle B. Find the unknown angles of the triangle.

From the condition it is known that in triangle ABC angle A is equal to 24 °, angle C is twice the angle B.

In order to find what the unknown angles of the triangle are equal to, we compose and solve a linear equation with one variable.

Let’s designate the angle B with the variable x, then the angle C can be written as 2x.

From the theorem on the sum of the angles of a triangle, we know that the sum of the angles of a triangle is 180 °, we compose and solve a linear equation.

x + 2x + 24 = 180;

3x = 156;

x = 52 ° angle B, then angle C is 52 * 2 = 104 °.

Answer: 52 °; 104 °.