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 = 180these angles form a straight line...so when added, they equal 180

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

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