Question

by which angle must (overline{ab}) turn about point (a) in the clockwise direction so that it coincides with (overline{ae})?
a. (90^circ)
b. (180^circ)
c. (270^circ)
d. (360^circ)

Explanation:

Step1: Identify ray positions

Ray $\overrightarrow{AB}$ points left along the x-axis, ray $\overrightarrow{AE}$ points right along the x-axis from point A.

Step2: Calculate clockwise rotation angle

A 180° clockwise rotation flips the ray to the opposite direction, making $\overrightarrow{AB}$ coincide with $\overrightarrow{AE}$.

Answer:

B. 180°