Respuesta :

Answer:

angle NKP = 60 degrees

Step-by-step 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