Question

08. In an isosceles triangle,if the vertex angle
is twice the sum of the base angles
calculate the angles of a triangle
,​

Answer 1

Answer:

30° , 30° , 120°

Step-by-step explanation:

In an isosceles triangle base angles are always equal

Let the base angle be = x

A.T.Q

the vertex angleis twice the sum of the base angles

So the vertex angle will be = 2(x +x) = 4x

Sum of all angles of a triangle is = 180°

Hence

x + x + 4x = 180°

6x = 180°

x = 30°

4x = 120°