Question

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

Explanation:

Step1: Recall complementary - angle definition

Two angles are complementary if their sum is 90°.

Step2: Analyze each option

• For ∠3 and ∠1: They are vertical angles, not complementary.
• For ∠6 and ∠5: They form a linear - pair (sum is 180°), not complementary.
• For ∠1 and ∠6: There is no indication that their sum is 90°.
• For ∠4 and ∠1: If we assume the right - angle formed by the intersection of the lines, and since ∠4 and ∠1 together make up a right - angle, and 90° is the measure of a right - angle, ∠4 and ∠1 are complementary.

Answer:

∠4 and ∠1