Question

which angles are complementary to each other? ∠5 and ∠4 ∠3 and ∠1 ∠4 and ∠3 ∠5 and ∠3

Explanation:

Step1: Recall the definition of complementary angles

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

Step2: Analyze \(\angle4\) and \(\angle3\)

From the figure, \(\angle1 = 90^{\circ}\). The sum of angles around a point is \(360^{\circ}\). But for the relationship between \(\angle3\) and \(\angle4\), we know that \(\angle2+\angle3+\angle4 = 180^{\circ}-\angle1=90^{\circ}\) (since \(\angle1 = 90^{\circ}\) and \(\angle1+\angle2+\angle3+\angle4 = 180^{\circ}\) for a linear - pair - like relationship in the angle - sum around the intersection).

Answer:

\(\angle4\) and \(\angle3\)