Question

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

Explanation:

Step1: Recall Complementary Angles

Complementary angles sum to \(90^\circ\). From the diagram, \(\angle5\) appears to be a right angle? Wait, no, looking at the intersection, \(\angle4\) and \(\angle5\): let's check each option.

Step2: Analyze Each Option

• \(\angle1\) and \(\angle6\): Likely supplementary or not \(90^\circ\) sum.
• \(\angle5\) and \(\angle2\): Not summing to \(90^\circ\) (if \(\angle5\) is part of a right angle? Wait, maybe \(\angle4\) and \(\angle5\): Wait, maybe \(\angle4\) and \(\angle5\) are complementary? Wait, no, let's re-express. Wait, the correct pair: \(\angle4\) and \(\angle5\) – wait, no, maybe \(\angle4\) and \(\angle5\) sum to \(90^\circ\)? Wait, no, let's check the options again. Wait, the correct answer is \(\angle4\) and \(\angle5\)? Wait, no, maybe I misread. Wait, the options: \(\angle4\) and \(\angle5\) – let's confirm. Complementary angles add to \(90^\circ\). If \(\angle5\) is adjacent to \(\angle4\) and they form a right angle, then \(\angle4 + \angle5 = 90^\circ\). So the correct pair is \(\angle4\) and \(\angle5\).

Answer:

\(\angle4\) and \(\angle5\)