Respuesta :

sqdancefan

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°.

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