Question

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

Explanation:

Step1: Recall the definition of complementary angles

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

Step2: Analyze each pair

• For \(\angle4\) and \(\angle5\): There is no indication that their sum is \(90^{\circ}\).
• For \(\angle4\) and \(\angle3\): There is no indication that their sum is \(90^{\circ}\).
• For \(\angle3\) and \(\angle2\): There is no indication that their sum is \(90^{\circ}\).
• For \(\angle2\) and \(\angle4\): Since \(\angle1 = 90^{\circ}\) (right - angle mark), and \(\angle2+\angle4+\angle3 = 180^{\circ}-\angle1=90^{\circ}\), but if we assume the lines are such that \(\angle2 + \angle4=90^{\circ}\) (by the property of angles around a point and the right - angle given).

Answer:

\(\angle2\) and \(\angle4\)