Question

which angles are complementary to each other? ∠2 and ∠5 ∠3 and ∠1 ∠1 and ∠2 ∠4 and ∠3

Explanation:

Step1: Recall the definition of complementary angles

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

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

From the figure, \(\angle3+\angle4 = 90^{\circ}\) (as \(\angle1 = 90^{\circ}\) and \(\angle1+\angle2+\angle3+\angle4+\angle5= 360^{\circ}\), and \(\angle2=\angle5\) due to vertical - angle property. Also, \(\angle1 = 90^{\circ}\), so \(\angle3+\angle4=90^{\circ}\))

Answer:

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