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14 January, 05:37

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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Answers (1)
  1. 14 January, 05:45
    0
    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
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