How many pairs of vertical angles are formed by \(5\) distinct lines that have a common point of intersection?
So vertical angles are angles that are across from each other by a vertex. Second, if I have two different lines intersecting at a common point, then I get two pairs of vertical angles. If I have 3, then I get 3 pairs. So if I have 5 pairs of different intersecting lines, then I have 5 pairs of vertical angles.