Question

which angle is complementary to ∠3?

Explanation:

Step1: Recall complementary - angle definition

Two angles are complementary if their sum is 90°.

Step2: Identify right - angle in the figure

We see that ∠1 is a right - angle (90°). And ∠1=∠2 + ∠3.

Step3: Solve for the complementary angle

Since ∠1 = ∠2+∠3 and ∠1 = 90°, then ∠2 is complementary to ∠3.

Answer:

∠2