In the circle below, if arc $A B=124^{\circ}$, and $\angle B P A=32^{\circ}$, find the measure of arc CD.
Select one:
a. $32^{\circ}$
b. $24^{\circ}$
c. $19^{\circ}$
d. $60^{\circ}$
Answer
\(\boxed{92}\) is the measure of arc CD. However, this answer is not among the options provided. There might be a mistake in the problem or in the calculations.
Step 1 ：Given that the measure of arc AB is 124 degrees and the measure of angle BPA is 32 degrees.
Step 2 ：First, we find the measure of arc APB by subtracting the measure of arc AB from 360 degrees, which is \(360^{\circ} - 124^{\circ} = 236^{\circ}\).
Step 3 ：Then, we find the measure of arc CD by subtracting the measure of arc APB and the measure of angle BPA from 360 degrees, which is \(360^{\circ} - 236^{\circ} - 32^{\circ} = 92^{\circ}\).
Step 4 ：\(\boxed{92}\) is the measure of arc CD. However, this answer is not among the options provided. There might be a mistake in the problem or in the calculations.
