In the diagram to the right three lines intersect at n.The measure of < GNF is 60, and the measure of < MNL is 47. What is the measure of < HNK?

< GNL = 60
< MNL = 47

< MNL and < GNH are vertical angles and are equal
so < GNH = 47

< GNL + < GNH + < HNK = 180....these angles form a straight line...so when added, they equal 180

60 + 47 + < HNK = 180
107 + < HNK = 180
< HNK = 180 - 107
< HNK = 73 <====