In an isosceles triangle, the angle opposite to the base is 2 times greater than the angle at the base.

In an isosceles triangle, the angle opposite to the base is 2 times greater than the angle at the base. Find the corners of the triangle.

The sum of all angles in a triangle is always 180 °. According to the property of an isosceles triangle, the angles at its base are equal; we express them in terms of x and form the equation:

x + x + 2x = 180 °;

4x = 180 °;

x = 180/4;

x = 45 ° – angles at the base of an isosceles triangle;

x × 2 = 45 × 2 = 90 ° – the angle at the apex of an isosceles triangle.