Question

which angles are complementary to each other? select all that apply. ∠3 and ∠5 ∠4 and ∠1 ∠2 and ∠1 ∠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 \(\angle3\) and \(\angle5\): There is no indication that \(\angle3+\angle5 = 90^{\circ}\).
• For \(\angle4\) and \(\angle1\): There is no indication that \(\angle4+\angle1=90^{\circ}\).
• For \(\angle2\) and \(\angle1\): There is no indication that \(\angle2+\angle1 = 90^{\circ}\).
• For \(\angle1\) and \(\angle3\): Since \(\angle1+\angle3+\angle\) (the right - angle part) \(= 180^{\circ}\) and the right - angle is \(90^{\circ}\), then \(\angle1+\angle3=90^{\circ}\) (by subtracting the right - angle from the straight - angle \(180^{\circ}\)).

Answer:

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