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

• A. $60°$
• B. $150\degree$
• C. $240\degree$
• D. $300\degree$

Answer: (C)

Verified step by step guidance

1. Observe the diagram: The angle θ is measured from the positive x-axis in the counterclockwise direction, ending in the third quadrant.
2. Recall that angles in standard position are measured counterclockwise from the positive x-axis. The third quadrant corresponds to angles between 180° and 270°.
3. Notice the direction of the arrow: It points downward and to the left, indicating the angle is in the third quadrant.
4. Consider the options given: 60°, 150°, 240°, and 300°. Only 240° falls within the range of the third quadrant (180° to 270°).
5. Conclude that the most reasonable measure for the angle θ, based on its position in the third quadrant, is approximately 240°.