Answer:
∠JKL = 44°
Step-by-step explanation:
You want the measure of angle JKL, when ∠JKM = 90° and KN bisects ∠LKM to give ∠NKM = 23°.
Angle bisector
An angle bisector creates two congruent angles:
∠LKN = ∠NKM = 23°
Angle sum
An angle is equal to the sum of its parts:
∠JKL +∠LKN +∠NKM = ∠JKM
∠JKL +23° +23° = 90°
∠JKL = 90° -46° = 44°
The measure of ∠JKL is 44°.
