Question

the vertical angle is twice is the sum of its base angle. Find each angle of the triangle

Answer 1

let vertical angle be 2(x+x)

let the base angle be x,x

so,

2x+2x+x+x=180(sum of angles of triangle is 180)

=6x=180
=x=30

so, vertical angle is2(x+x)=120
base angle is x=30