Question

which angles are complementary to each other? ∠1 and ∠5 ∠6 and ∠3 ∠6 and ∠5 ∠2 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 \(\angle1\) and \(\angle5\): There is no information suggesting their sum is \(90^{\circ}\).
• For \(\angle6\) and \(\angle3\): There is no information suggesting their sum is \(90^{\circ}\).
• For \(\angle6\) and \(\angle5\): If we assume the lines form a right - angle at the intersection (common in such problems where complementary angles are considered), and if \(\angle6+\angle5 = 90^{\circ}\) (by the property of angles around a point and right - angle formation in the figure).
• For \(\angle2\) and \(\angle3\): There is no information suggesting their sum is \(90^{\circ}\).

Answer:

\(\angle6\) and \(\angle5\)