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Answer:

∠ NST = 59°

Step-by-step explanation:

∠ NST and ∠ LSN form a right angle , that is

∠ NST + ∠ LSN = 90

3x - 1 + 2x - 9 = 90

5x - 10 = 90 ( add 10 to both sides )

5x = 100 ( divide both sides by 5 )

x = 20

Then

∠ NST = 3x - 1 = 3(20) - 1 = 60 - 1 = 59°