Find the value of x in each case.

Answer:
Step-by-step explanation:
∠CGH = 14° {Vertical angles are congruent}
∠EGH = ∠EGC + ∠CGH
= 78 + 14
= 92
GH // EC and BG is transversal.
∠BEC = ∠EGH {Corresponding angles are congruent}
4x = 92
Divide both sides by 4
x = 92/4
x = 23°