Question

which angles are complementary to each other? ∠1 and ∠5 ∠6 and ∠3 ∠6 and ∠5 ∠2 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 \(\angle1\) and \(\angle5\): There is no indication that \(\angle1+\angle5 = 90^{\circ}\).
• For \(\angle6\) and \(\angle3\): If we assume the figure is formed by intersecting lines and some right - angle - like configurations (by visual inspection of the angle - sum in the region where they are adjacent), \(\angle6+\angle3=90^{\circ}\).
• For \(\angle6\) and \(\angle5\): \(\angle6+\angle5\) is a straight - line angle (\(180^{\circ}\)) in some cases (if they are adjacent and form a linear pair in the overall figure structure), so \(\angle6 + \angle5

eq90^{\circ}\).

• For \(\angle2\) and \(\angle3\): \(\angle2+\angle3\) is a straight - line angle (\(180^{\circ}\)) in some cases (if they are adjacent and form a linear pair in the overall figure structure), so \(\angle2+\angle3

eq90^{\circ}\).

Answer:

\(\angle6\) and \(\angle3\)