Question

In an isosceles triangle, he vertex angle is twice the sum of the base angles. Find the angles of the triangle.

Answer 1

The base angles of an isosceles triangle are equal.

Let the measure of each base angle be x.

Then the measure of the vertex angle will be 2(x + x) = 2(2x) = 4x.

The angles measure 30°, 30° and 120°.