Question

which angles are complementary to each other? ∠1 and ∠6 ∠6 and ∠5 ∠5 and ∠3 ∠4 and ∠5

Explanation:

Step1: Recall the definition of complementary angles

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

Step2: Analyze each pair

• For \(\angle1\) and \(\angle6\): There is no information suggesting their sum is \(90^{\circ}\).
• For \(\angle6\) and \(\angle5\): There is no information suggesting their sum is \(90^{\circ}\).
• For \(\angle5\) and \(\angle3\): There is no information suggesting their sum is \(90^{\circ}\).
• For \(\angle4\) and \(\angle5\): Since \(\angle3 = 90^{\circ}\) (right - angle), and \(\angle4+\angle5+\angle3= 180^{\circ}\) (straight - angle). Then \(\angle4+\angle5=180^{\circ}-\angle3 = 90^{\circ}\)

Answer:

\(\angle4\) and \(\angle5\)