Question

Need help with the problem in the photo.

Answer 1

x = 43

Explanation:

The two angles must be congruent for the two lines to be parallel.

`3x+14=143`

subtract 14 from both sides to get

`3x=129`

next divide both sides by three to arrive at the answer

`x=43`

Answer 2

43

Explanation:

The angle, 3x + 14 and the other angle 143 are alternate exterior angles. Alternate exterior angles are congruent to each other if the two lines are parallel. So in this case both the angles are considered congruent from the question assuming that they are congruent.

143 = 3x + 14

129 = 3x

x = 43