Answer:
see explanation
Step-by-step explanation:
∠ ABY and ∠ CBY are adjacent and supplementary, thus
x + 25 + 2x + 50 = 180, that is
3x + 75 = 180 ( subtract 75 from both sides )
3x = 105 ( divide both sides by 3 )
x = 35
Thus
∠ CBY = 2x + 50 = 2(35) + 50 = 70 + 50 = 120°
∠ BEF = ∠ CBY ( corresponding angles )
∠ BEF = 120°
Thus AC and DF are parallel lines
