# The angle at the apex of an isosceles triangle is 80 degrees. find the corners at the base of the triangle.

It is known from the condition that the angle at the apex of an isosceles triangle is 80 °. In order to find the angles at the base, we will need to recall the properties of the angles at the base of an isosceles triangle, as well as the theorem on the sum of the angles of a triangle.

In an isosceles triangle, the angles at the base are equal. And the theorem on the sum of the angles of a triangle says that the sum of the angles of a triangle is 180 °.

Let’s compose and solve the equation:

x + x + 80 = 180;

2x + 80 = 180;

2x = 180 – 80;

2x = 100;

x = 50 ° angle at the base of an isosceles triangle. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.