Question

In an Isosceles triangle,the base angle are equal. If each base angle is twice of vertex angle, what are the degree measure of the angles of triangle?

Answer 1

Step-by-step explanation:

Let the vertex angle be x°

As in the isosceles triangle, the base angles are equal.

So let each of these angles be (2×x)° =2x°

By condition,

Sum of three angles in a triangle = 180°

x°+2x°+2x° = 180°

x+2x+2x = 180

5x = 180

x = 180/5

x = 36

The angles are

36°, (36×2)°=72° and 72°