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In the figure below, mJKM = 89°, m LKM = 44°, and KN bisects LKM. Find m JKN.

mJKN =

In the figure below, mJKM = 89°, m LKM = 44°, and KN bisects LKM. Find m JKN. mJKN-example-1
User NSTuttle
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Of course, here are the steps to calculate m JKN:

1. m LKM = 44° and m JKM = 89°.
2. Since KN bisects angle LKM, the angles created by the bisector are equal.
3. Each of the bisected angles is half of m LKM: 44° / 2 = 22°.
4. Subtract the bisected angle (22°) from m JKM (89°): 89° - 22° = 67°.
5. So, m JKN = 67°.

Remember, bisectors are ALWAYS half of your full equation.
User Walsh
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