Answer:
x = 23
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, as line EF is parallel to line AC (indicated by the arrows), and EB intersects them:
⇒ ∠ABE = ∠FEB
⇒ ∠ABE = 4x
Angles on a straight line sum to 180°
⇒ ∠FBE + ∠ABE + ∠ABD = 180°
⇒ 65 + 4x + x = 180
⇒ 65 + 5x = 180
⇒ 65 + 5x - 65 = 180 - 65
⇒ 5x = 115
⇒ 5x ÷ 5 = 115 ÷ 5
⇒ x = 23