If an angle $m1$ in standard position measures $42°$, which of the following best describes its location on the coordinate plane?

• A. Its terminal side lies in Quadrant $\mathrm{III}$.
• B. Its terminal side lies on the positive $y$-axis.
• C. Its terminal side lies in Quadrant $\mathrm{II}$.
• D. Its terminal side lies in Quadrant $\mathrm{I}$.

Answer: (D)

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 range of angles for each quadrant: Quadrant I is from 0° to 90°, Quadrant II is from 90° to 180°, Quadrant III is from 180° to 270°, and Quadrant IV is from 270° to 360°.
3. Compare the given angle measure, 42°, to these ranges to determine which quadrant it falls into.
4. Since 42° is greater than 0° and less than 90°, it lies within the range of Quadrant I.
5. Therefore, the terminal side of the angle lies in Quadrant I on the coordinate plane.