The angle EKF is 120 degrees. Beams KL and KN are drawn. Beam KN is the bisector

The angle EKF is 120 degrees. Beams KL and KN are drawn. Beam KN is the bisector of the angle LKF What is the degree measure of the angle EKL if the angle NKF is 37 degrees.

Since KN is the bisector of the angle LKF, then the angles LKN and NKF are equal, so the angle LKN = NKF = 37 °.
The angle LKF is equal to the sum of the angles LKN and NKF, that is, LKF = 37 + 37 = 74 °.
Then the angle EKL is the difference between the angles EKF and LKF, that is, EKL = 120 – 74 = 46 °.
Answer: The degree measure of the angle EKL is 46 °.