As according to given diagram:
The given triangle is isosceles triangle.
So as we know that the angle infront of equal sides are also equal.
hence:
[tex]\begin{gathered} 2x+2(2x-3)=180 \\ 2x+4x-6=180 \\ 6x=186 \\ x=\frac{186}{6} \\ x=31 \end{gathered}[/tex]Now the vertex angle is 2x so:
2(31)=62 degree
hence B is correct option