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 \(\angle6\): There is no indication that \(\angle3+\angle6 = 90^{\circ}\).
• For \(\angle1\) and \(\angle3\): Since \(\angle1+\angle2+\angle3 = 180^{\circ}\) and \(\angle2 = 90^{\circ}\), then \(\angle1+\angle3=180^{\circ}-\angle2=180^{\circ} - 90^{\circ}=90^{\circ}\)

Answer:

\(\angle1\) and \(\angle3\)