If an angle in standard position has its terminal side passing through the point $\left(0,1\right)$, what is the measure of the angle in degrees?

• A. $90°$
• B. $152°$
• C. $76°$
• D. $38°$

Answer: (A)

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.
3. Since the point is (0, 1), it lies on the positive y-axis. This means the terminal side of the angle is vertical and points straight up.
4. The angle formed by the terminal side passing through (0, 1) with the positive x-axis is a right angle, which corresponds to 90 degrees.
5. Therefore, the measure of the angle in degrees is 90°.