Question

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

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles are two angles whose sum is \(90^{\circ}\).

Step2: Analyze each pair

• For \(\angle6\) and \(\angle2\): There is no indication that their sum is \(90^{\circ}\).
• For \(\angle5\) and \(\angle6\): There is no indication that their sum is \(90^{\circ}\).
• For \(\angle1\) and \(\angle3\): There is no indication that their sum is \(90^{\circ}\).
• For \(\angle5\) and \(\angle3\): Since \(\angle3 + \angle2+\angle1 = 90^{\circ}\) (right - angle) and \(\angle1+\angle2+\angle6+\angle5 = 180^{\circ}\) (linear pair), but if we assume the right - angle structure and using angle - sum properties (in a more detailed geometric analysis of adjacent angles around a point), we find that \(\angle3+\angle5 = 90^{\circ}\) (by using the fact that the sum of angles around a point and the right - angle given).

Answer:

\(\angle5\) and \(\angle3\)