Question

Find the value of x so that segment BC is parallel to segment DE.

a) x = 30 degrees
b) x = 60 degrees
c) x = 120 degrees
d) x = 150 degrees

Answer 1

The value of x that makes segment BC parallel to segment DE is x = 30 degrees.

Step-by-step explanation:

To determine the value of x so that segment BC is parallel to segment DE, we need to consider the angles involved. If two lines are parallel, then the alternate interior angles are congruent. So, if angle BCD is equal to angle EDF, then segment BC is parallel to segment DE. Since BCD and EDF are vertical angles, they must have the same measure. Therefore, the value of x that makes BC parallel to DE is x = 30 degrees (option a).