Question

what is the relationship between ∠x and ∠y? choose 1 answer: a vertical angles b complementary angles c supplementary angles d none of the above

Explanation:

Step1: Recall angle - relationship definitions

Vertical angles are opposite angles formed by two intersecting lines. Complementary angles add up to 90°. Supplementary angles add up to 180°.

Step2: Analyze the given angles

We can see that $\angle x+\angle y = 90^{\circ}$ since the angle formed by the perpendicular line $AB$ and the line $EC$ is a right - angle.

Answer:

B. Complementary angles