Answer :

hapicoma
it's important to note that majority of stright lines in geomatry are going to be 180 degrees 
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jacobrocket17304
5k+20+3k+16=180
(now combine like terms)
8k=144
(now divide 144 by 8)
k=18
(substitute)
5(18)+20=110
(use vertical angles therom to get angle PLM, which is 110 degrees)