Question

How do I set up this problem to find the measure of angle KNL??

Answer 1

check the picture below.

$\bf \stackrel{\measuredangle K}{31x-11}~~+~~\stackrel{\measuredangle M}{16x+3}~~=~~180\implies 47x-8=180 \\\\\\ 47x=188\implies x=\cfrac{188}{47}\implies \boxed{x=4} \\\\[-0.35em] ~\dotfill\\\\ \measuredangle K=31(4)-11\implies \measuredangle K = 124-11\implies \measuredangle K=113 \\\\[-0.35em] ~\dotfill\\\\ \measuredangle KNL = 180-\stackrel{\measuredangle KLN}{43}-\stackrel{\measuredangle K}{113}\implies \measuredangle KNL=24$