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

Question

IRINA_888 [86]

3 years ago

8

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

Mathematics

1 answer:

Dvinal [7] · Answer 1 · 2022-03-12T17:13:01+03:00

Dvinal [7]3 years ago

8 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