Question

which angles are complementary to each other?
∠6 and ∠1
∠3 and ∠2
∠1 and ∠5
∠6 and ∠5

Explanation:

Step1: Recall the definition of complementary angles

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

Step2: Analyze \(\angle3\) and \(\angle2\)

From the figure, we can see that \(\angle3 + \angle2=90^{\circ}\) (as they form a right - angle).

Step3: Analyze other pairs

• For \(\angle6\) and \(\angle1\): Their sum is not \(90^{\circ}\).
• For \(\angle1\) and \(\angle5\): Their sum is not \(90^{\circ}\).
• For \(\angle6\) and \(\angle5\): Their sum is not \(90^{\circ}\).

Answer:

\(\angle3\) and \(\angle2\)