Answer:
x = 8
Explanation:
Alternate Interior Angles Theorem
If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.
Therefore, equate the two angles and solve for x:
⇒ (8x - 4)° = 60°
⇒ 8x - 4 = 60
⇒ 8x - 4 + 4 = 60 + 4
⇒ 8x = 64
⇒ 8x ÷ 8 = 64 ÷ 8
⇒ x = 8