Find the angles of an isosceles triangle if one of the angles is 24 degrees less than the other.

An isosceles triangle is a triangle with equal sides. In an isosceles triangle, the angles at the base are equal. The sum of all the angles of a triangle is 180 °.

1. One of the angles at the base is x degrees.

2. The angle at the apex of the triangle is (x – 24) degrees.

3. Let’s compose and solve the equation.

x + x + (x – 24) = 180;

x + x + x – 24 = 180;

3x = 180 + 24 = 204;

3x = 204;

x = 204/3 = 68;

x = 68;

Answer: The angles at the base of the triangle are x = 68 °. The angle at the apex of the triangle is x – 24 = 68 – 24 = 44 °.