Options A, C and D
Angle p = 180° - 89.5° = 90.5° [Linear pair of angles]
If b║f and line a is a transversal line,
m∠p = 90.5° [Alternate exterior angles]
If B║D and line a is a transversal,
m∠q = 89.5° [vertically opposite angles]
∠q + 89.5° = 89.5° + 89.5° = 179°
But angles q and angle with measure 89.5° are the consecutive interior angles and their sum should be 180°.
So the given statement is False.
Since, m∠r = 91.5° [Vertically opposite angle]
And m∠r + 89.5° = 180° [Consecutive interior angles]
Since, ∠r and ∠q are consecutive interior angles,
m∠r + m∠q = 180°
91.5° + 89.5° = 180°
m∠s = 90.5°[Vertically opposite angles]
Since, ∠s and angle with measure 89.5° are the alternate interior angles,
So measure of angle s should be 89.5°.
Therefore, d║f is False.
If e║f, angles with measures 89.5° and 90.5° should be equal.
But measures of both are different.
Therefore, e║f is False.
Options A, C and D are the correct options.