Answer:
angle NKP = 60 degrees
Explanation:
A line will always equal 180 degrees
If angle JKM and angle MKN are complentary, that means they will add up to 90. Since angle JKM is 40 degrees, angle MKN must be 50 degrees
Angle LKP is 30 degrees
Form an equation:
180 = 40 + 50 + 30 + angle NKP
Combine like terms
180 = 120 + angle NKP
Subtract 120 from both sides to isolate the unknown angle
60 = angle NKP