Question

which angle is complementary to ∠2?

Explanation:

Step1: Recall complementary - angle definition

Two angles are complementary if their sum is 90 degrees.

Step2: Analyze the given angles

From the figure, we can see that $\angle2+\angle3 = 90^{\circ}$ (since $\angle5 = 90^{\circ}$ and the angles around the intersection are related in such a way that the non - overlapping angles that make up the right - angle formed by the perpendicular lines are complementary).

Answer:

$\angle3$