Answer:
Option (4)
Step-by-step explanation:
From the figure attached,
∠b = 75° [Vertical angles]
If the lines f and g are parallel then,
∠b = ∠c [Corresponding angles]
Therefore, ∠c = 75°
Since m∠c + m∠d = 180° [Supplementary angles]
75° + m∠d = 180°
m∠d = 180° - 75°
m∠d = 105°
Therefore, measure of angle d should be equal to 105° to prove f and g are parallel.
Option (4) will be the answer.
