Question

which angle is congruent to $\angle 1$?
image of intersecting lines with angles labeled 1, 2, 3, 4, 5
options: $\angle 2$, $\angle 3$, $\angle 5$, $\angle 4$

Explanation:

Step1: Identify vertical angles

Vertical angles are opposite, congruent angles formed by intersecting lines.

Step2: Match ∠1 to its vertical angle

∠1 and ∠4 are opposite each other at the intersection, so they are vertical angles and congruent.

Answer:

∠4