An angle in standard position has its terminal side passing through the point with coordinates $(0,-1)$. Which of the following is the measure of the angle $m$ in degrees?

• A. $258°$
• B. $270°$
• C. $266°$
• D. $282°$

Answer: (B)

Verified step by step guidance

1. Identify the coordinates of the point through which the terminal side of the angle passes. Here, the point is (0, -1).
2. Recall that an angle in standard position has its vertex at the origin (0,0) and its initial side along the positive x-axis. The terminal side passes through the given point.
3. Determine the quadrant or axis where the point lies. Since the point is (0, -1), it lies on the negative y-axis.
4. Recall the angles corresponding to points on the axes: the positive y-axis corresponds to 90°, the negative x-axis to 180°, the negative y-axis to 270°, and the positive x-axis to 0° or 360°.
5. Conclude that the angle whose terminal side passes through (0, -1) is 270°.