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

July 28, 2021 | education

| 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.

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