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: A. 9 B. 18 C. 35 D. 71

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asked Apr 3, 2017 193k views

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Shivani Sonagara · Answer 1 · 2017-04-07T22:03:55+0000

alternate interior angles are congruent...they are equal. So lets set them equal and solve for x

3x + 17 = x + 53
3x - x = 53 - 17
2x = 36
x = 36/2
x = 18

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: A. 9 B. 18 C. 35 D. 71

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