Question

Which value of x would make Line segment N O parallel to line segment K J?

a) 1
b) 6
c) 8
d) 10

Answer 1

Setting x to 8 ensures that the corresponding angles NOJ and KJN are equal, making Line segment NO parallel to Line segment KJ. Thus, the correct answer is option c) 8

Step-by-step explanation:

To make Line segment NO parallel to line segment KJ, the corresponding angles between the two segments should be equal. In this case, when x equals 8, the corresponding angles are equal, ensuring that Line segment NO is parallel to line segment KJ.

In more detail, when x is set to 8, angle NOJ and angle KJN become corresponding angles. Corresponding angles are equal when two lines are parallel. Therefore, Line segment NO will be parallel to line segment KJ.

Thus, the correct answer is option c) 8