Answer:
60
Explanation:
Angles AKB and EKD are vertical angles and congruent.
The measure of angle AKB is the sum of the measures of arcs AB and ED divided by 2.
m<AKB = (110 + 130)/2 = 120
Angles AKB and AKE are supplementary angles, so their measures add to 180 deg.
m<AKE + m<AKB = 180
m<AKE + 120 = 180
m<AKE = 60