If an angle $\theta$ is in standard position and $\theta =85°$, in which quadrant does its terminal side lie?

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

Answer: (B)

Verified step by step guidance

1. Recall that an angle in standard position is measured from the positive x-axis, moving counterclockwise.
2. Identify the range of angles for each quadrant: 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 \(360^\circ\).
3. Given that \(\theta = 85^\circ\), compare this angle to the quadrant ranges.
4. Since \(85^\circ\) is greater than \(0^\circ\) and less than \(90^\circ\), it lies within the range of Quadrant I.
5. Therefore, the terminal side of the angle \(85^\circ\) lies in Quadrant I.