If angle $PQR$ is in standard position and measures $75°$, in which quadrant does its terminal side lie?

• A. $\text{Quadrant II}$
• B. $\text{Quadrant I}$
• C. $\text{Quadrant III}$
• D. $\text{Quadrant IV}$

Answer: (B)

Verified step by step guidance

1. Recall that an angle in standard position is measured starting from the positive x-axis and rotating counterclockwise.
2. Identify the measure of the given angle, which is \$75^\circ$.
3. Understand the quadrant boundaries: Quadrant I is from \$0^\circ\( to \)90^\circ\(, Quadrant II is from \)90^\circ\( to \)180^\circ\(, Quadrant III is from \)180^\circ\( to \)270^\circ\(, and Quadrant IV is from \)270^\circ\( to \)360^\circ$.
4. Since \$75^\circ\( lies between \)0^\circ\( and \)90^\circ$, determine that the terminal side of the angle lies in Quadrant I.
5. Conclude that the angle \(\angle PQR\) in standard position with measure \$75^\circ$ is located in Quadrant I.