Question

which angles are complementary to each other? ∠2 and ∠6 ∠2 and ∠4 ∠5 and ∠4 ∠3 and ∠4

Explanation:

Step1: Recall complementary - angles definition

Two angles are complementary if their sum is 90°.

Step2: Analyze each option

From the figure, we can see that ∠2 is a right - angle (90°). ∠3 + ∠4+ ∠5 = 180° (a straight - line angle). ∠5+ ∠6 = 90°. Since ∠2 is 90°, and ∠5 + ∠6=90°, we know that ∠2 and ∠6 are complementary.

Answer:

∠2 and ∠6