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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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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

User Davide Icardi
by
7.8k points

1 Answer

3 votes
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

User Shivani Sonagara
by
8.2k points
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