Final answer:
The value of x in the given problem is 47/3, which is approximately 15.67. So the correct answer is (d) x - 5.
Step-by-step explanation:
When a transversal cuts through parallel lines, it creates several pairs of angles. The alternate interior angles, which are on opposite sides of the transversal and inside the parallel lines, are congruent or equal in measure. In this case, we have two alternate interior angles with measures of 62 - 14 and 3x + 1. Since they are congruent, we can set them equal to each other and solve for x:
62 - 14 = 3x + 1
48 = 3x + 1
47 = 3x
x = 47/3
Therefore, the value of x is 47/3, which is approximately 15.67. So the correct answer is (d) x - 5.