Question

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

Explanation:

Step1: Recall complementary - angle definition

Two angles are complementary if their sum is 90°. In a right - angled intersection of lines, adjacent angles that form a right angle are complementary.

Step2: Analyze each option

• For ∠4 and ∠1: They are not adjacent and do not form a 90° angle.
• For ∠3 and ∠4: They are adjacent and form a right angle (assuming the lines are perpendicular at the intersection where these angles are located), so ∠3+∠4 = 90°.
• For ∠2 and ∠3: They are supplementary (their sum is 180°) as they are a linear pair.
• For ∠5 and ∠4: They are supplementary as they are a linear pair.

Answer:

∠3 and ∠4