Question

In an isosceles triangle, if the vertex angle is five times the sum of the base angles, then the measure of vertex angle of the triangle is​

Answer 1

Step-by-step explanation:

Let the base angles be 'x'

Then,

ATQ---

Vertex Angle=5(x+x)

→Vertex angle= 10x

Therefore,By angle sum property;

x+x+10x=180°

→12x=180°

→x=15°

So the vertex Angle is 10(15°)=150°