Question

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

Explanation:

Step1: Recall complementary angles definition

Two angles are complementary if their sum is 90 degrees. In the given figure, we assume that the angle formed by the two - line intersection where angle 3 is a right - angle.

Step2: Analyze angle relationships

Since the sum of angles around a point is 360 degrees and we know angle 3 = 90 degrees. Also, vertical angles are equal. Angle 4 and angle 6 are vertical angles. And angle 4+angle 5 = 90 degrees (because of the right - angle formed by the intersection). Angle 5 and angle 6 are adjacent and supplementary to the right - angle. So, angle 4+angle 6 = 90 degrees.

Answer:

∠6