Answer: Fourth option is correct.
Step-by-step explanation:
Since we have given that
Measure of AE = 86
Measure of BD = 40
We need to find the measure of ∠BKD.
Since we know that the central angle is the average of measures of two intercepted arc of this angle.
So, it becomes,
[tex]m\angle BKD=\dfrac{AE+BD}{2}\\\\m\angle BKD=\dfrac{86+40}{2}\\\\m\angle BKD=\dfrac{126}{2}\\\\m\angle BKD=63^\circ[/tex]
Hence, ∠BKD = 63°
Therefore, Fourth option is correct.
