Question

angle relationships
vertical angles are formed by two intersecting lines and are directly across from each other. their measures are always equal.
∠4 ≅ ∠blank (with a diagram of intersecting lines at point e, labeled with angles 1, 2, 3, 4 and points a, b, c, d)

Explanation:

Step1: Identify vertical angles

Vertical angles are opposite each other at an intersection of two lines, and they are congruent. In the diagram, $\angle 4$ is opposite $\angle 2$.

Step2: Match congruent angle

By the definition of vertical angles, $\angle 4 \cong \angle 2$.

Answer:

$\angle 2$