Question

which angles are complementary to each other? ∠3 and ∠1 ∠4 and ∠2 ∠1 and ∠4 ∠6 and ∠5

Explanation:

Step1: Recall complementary - angles definition

Two angles are complementary if their sum is 90 degrees.

Step2: Analyze each option

• Option 1: ∠3 and ∠1. There is no indication in the figure that ∠3+∠1 = 90°.
• Option 2: ∠4 and ∠2. There is no indication in the figure that ∠4 + ∠2=90°.
• Option 3: ∠1 and ∠4. There is no indication in the figure that ∠1+∠4 = 90°.
• Option 4: ∠6 and ∠5. Since ∠3 is a right - angle (marked with the right - angle symbol), and ∠3, ∠5, and ∠6 form a straight - line (180 degrees), and ∠3 = 90°, then ∠5+∠6=180° - ∠3=90°.

Answer:

∠6 and ∠5