What is m∠PLM? m∠PLM = __ °

Remember that all of the angles on one side of a straight line add up to 180 degrees. Here's how to use that factoid to set it up: The two angles on the same side of the slanted line add up to 180.            (5k + 20)  +  (3k + 16)  =  180 . Solve that for 'k'.  Then ... Both angles on the right side of the vertical line also add up to 180.  So the answer to the question is                          [ 180 - (3k + 16) ]. Just folding my arms and sitting back and looking at all of that, I got 110 degrees.  Do NOT use that for the answer, but I'll be curious to see if it's anywhere close.