Question

which angles are complementary to each other?
∠5 and ∠3 ∠2 and ∠5 ∠3 and ∠6 ∠1 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 \(\angle5\) and \(\angle3\): There is no indication that \(\angle5+\angle3 = 90^{\circ}\).
• For \(\angle2\) and \(\angle5\): There is no indication that \(\angle2+\angle5=90^{\circ}\).
• For \(\angle3\) and \(\angle6\): Since \(\angle3+\angle6 + 90^{\circ}=180^{\circ}\) (straight - line angle), then \(\angle3+\angle6=90^{\circ}\).
• For \(\angle1\) and \(\angle3\): There is no indication that \(\angle1+\angle3 = 90^{\circ}\).

Answer:

\(\angle3\) and \(\angle6\)