Question

which angle is complementary to ∠6? ∠1 ∠2 ∠3 ∠4

Explanation:

Step1: Recall the definition of complementary angles

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

Step2: Analyze the given angles

From the figure, \(\angle1 = 90^{\circ}\). We know that \(\angle1=\angle6+\angle2\) (because they form a right - angle at the intersection). So, \(\angle6+\angle2 = 90^{\circ}\).

Answer:

\(\angle2\)