What is the approximate measure of the angle shown below? Choose the most reasonable answer.

• A. 60°
• B. 150°
• C. 240°
• D. 300°

Answer: (C)

Verified step by step guidance

1. Observe the angle in the image. The angle is measured from the positive x-axis in a counterclockwise direction.
2. Notice that the angle extends into the third quadrant of the coordinate plane. Angles in the third quadrant are between 180° and 270°.
3. Estimate the angle's position relative to the axes. The angle appears to be closer to the negative y-axis than to the negative x-axis.
4. Since the angle is closer to the negative y-axis, it is likely closer to 270° than to 180°.
5. Among the given options, 240° is the most reasonable estimate for the angle shown, as it is between 180° and 270° and closer to the negative y-axis.