The angle at the apex of an isosceles triangle is 56 degrees. Find the angles when you rig this triangle.

It is known from the condition that the angle at the apex of an isosceles triangle is 56 °. And we need to find coal at the base of an isosceles triangle.

We begin by recalling the property of an isosceles triangle. The angles at the base of an isosceles triangle are equal to each other.

And also remember the theorem about the sum of the angles of a triangle: The sum of the angles of a triangle is 180 °.

Let’s denote by x ° the degree measure of the angle at the base.

We get the equation:

x + x + 56 = 180;

2x = 180 – 56;

2x = 124;

x = 62 °.