Given an angle $yzx$ in standard position, which of the following is the closest approximation to its measure in degrees?

• A. $50.6°$
• B. $34.8°$
• C. $39.4°$
• D. $55.2°$

Answer: (C)

Verified step by step guidance

1. Identify the given angle in standard position and understand that the goal is to find its measure in degrees.
2. Recall that angles in standard position are measured from the positive x-axis, moving counterclockwise for positive angles.
3. If the angle is given in radians or another unit, use the conversion formula to convert it to degrees: \(\text{degrees} = \text{radians} \times \frac{180}{\pi}\).
4. Compare the calculated degree measure to the provided options: 50.6°, 34.8°, 39.4°, and 55.2°.
5. Select the option that is closest to your calculated degree measure, which in this case is 39.4°.