Applying the alternate interior angles theorem, the value of x is: D. 8.
What is the Alternate Interior Angles Theorem?
The alternate interior angles theorem states that interior angles that are alternate to each other along a transversal have equal measurement.
∠4 and ∠6 are alternate interior angles, therefore:
m∠4 = m∠6
Substitute
4x - 2 = 2x + 14
4x - 2x = 2 + 14
2x = 16
x = 16/2
x = 8 (option D).
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