Suppose an angle $\theta$ in standard position has a measure of $140°$. In which quadrant does its terminal side lie?

• A. Quadrant IV
• B. Quadrant II
• C. Quadrant I
• D. Quadrant III

Answer: (B)

Verified step by step guidance

1. Recall that the coordinate plane is divided into four quadrants, each corresponding to a range of angle measures in degrees: Quadrant I (0° to 90°), Quadrant II (90° to 180°), Quadrant III (180° to 270°), and Quadrant IV (270° to 360°).
2. Identify the given angle measure, which is \$140^\circ$, and note that it is measured from the positive x-axis in a counterclockwise direction since the angle is in standard position.
3. Determine which quadrant the angle \$140^\circ\( falls into by comparing it to the quadrant ranges: since \)140^\circ\( is greater than \)90^\circ\( but less than \)180^\circ$, it lies in Quadrant II.
4. Understand that angles in Quadrant II have terminal sides located between the positive y-axis and the negative x-axis, which corresponds to angles between \$90^\circ\( and \)180^\circ$.
5. Conclude that the terminal side of the angle \$140^\circ$ lies in Quadrant II.