Question

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

Explanation:

Step1: Recall complementary - angles definition

Two angles are complementary if their sum is 90 degrees.

Step2: Analyze each option

• For ∠2 and ∠5: There is no indication that ∠2+∠5 = 90°.
• For ∠5 and ∠3: Since ∠3 is a right - angle (marked with a right - angle symbol), ∠5+∠3≠90°.
• For ∠2 and ∠1: If we assume that the non - labeled angle adjacent to ∠1 and ∠2 forms a right - angle with ∠3, and the sum of angles around a point is 360 degrees, and vertical angles are equal. We can see that ∠2+∠1 = 90°.
• For ∠1 and ∠4: There is no indication that ∠1+∠4 = 90°.

Answer:

∠2 and ∠1