In an isosceles triangle, the base angle is 27 degrees less than the base angle. Find the corners of the triangle.

It is known from the condition that in an isosceles triangle the angle at the base is 27 ° less than the angle opposite to the base. In order to find the angles of the triangle, we compose and solve the equation.

But first of all, remember the theorem on the sum of the angles of a triangle.

It says that the sum of the angles of the triangle is 180 °.

We know that in an isosceles triangle, the angles at the base are equal. Let us denote by the variable x the angle at the apex, then (x – 27) the angle at the base.

x + 2 (x – 27) = 180;

x + 2x – 54 = 180;

3x = 180 + 54;

3x = 234;

x = 78 ° apex angle, 78 – 27 = 51 ° base angle.