SOLUTION: Parallel lines are cut by a transversal such that the alternate interior angles have measures of 3x + 17 and x + 53 degrees. The value of x is 9 18 35 71

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Question 746956: Parallel lines are cut by a transversal such that the alternate interior angles have measures of 3x + 17 and x + 53 degrees. The value of x is


9
18
35
71
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
if the lines are parallel, then the alternate interior angles are congruent, so we know that

3x + 17 = x + 53

3x + 17 - x = 53

3x - x = 53 - 17

2x = 36

x = 36/2

x = 18