The angle bisectors of AJKL are JQ, KQ, and LQ. They meet at a single point Q. (In other words, Q is the incenter of AJKL.)

Question

The angle bisectors of AJKL are JQ, KQ, and LQ. They meet at a single point Q.
(In other words, Q is the incenter of AJKL.) Suppose NQ=20, LQ=23, mLNLP=34°, and mLMJQ=26°. Find the following measures. Note that the figure is not drawn to scale.

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