If an angle in standard position intercepts an arc from point $Q$ to point $P$ on a circle, and the measure of the arc $\mathrm{QP}$ is closest to which of the following values?

• A. $84°$
• B. $88°$
• C. $78°$
• D. $96°$

Answer: (B)

Verified step by step guidance

1. Understand that the problem involves an angle in standard position intercepting an arc on a circle, and we need to find the measure of that arc in degrees.
2. Recall that the measure of an arc intercepted by an angle in standard position on a circle is equal to the measure of the central angle that intercepts that arc.
3. Identify the given angle measure or any related information about the intercepted arc or points Q and P on the circle. Since the problem mentions an angle and points Q and P, consider the central angle formed by these points.
4. Use the fact that the measure of the intercepted arc \( \overset{\frown}{QP} \) is equal to the measure of the central angle in degrees. If the angle is given or can be calculated, that will be the arc measure.
5. Compare the calculated or given angle measure to the provided options (84°, 88°, 78°, 96°) and determine which value the arc measure is closest to.