Angle is made up of two rays which are called arms.
Start with a common vertex B, draw ∠ABC and ∠ABD.
So, AB is the common arm of both the angles.
A and B points are common in both.
We have to take the remaining 2 points on this common arm only as no other arm is common between both the angles.
So, E and F are the remaining common points.
Thus, ∠ABC and ∠ABD share the 4 common points: B, E, F and A.