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 formed by two intersecting lines and are opposite each other. Complementary angles add up to 90 degrees and supplementary angles add up to 180 degrees.

Step2: Analyze the given angles

From the figure, we can see that $\angle x+\angle y = 90^{\circ}$ since the angle between line $AB$ and line $AE$ is a right - angle.

Answer:

B. Complementary angles