Given that lines a and b are parallel and that m∠4 = 128°, find m∠7.
A) 32°
B) 42°
C) 52°
D) 62°

Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
line a and line b are two parallel lines.
and there is a transversal.
Since m∠4 = 128°
And m∠4 and m∠8 are corresponding angles.
So, m∠4 = 128° = m∠8
Now, m∠7+m∠8=180° (linear pair)
[tex]m\angle 7+128^\circ=180^\circ\\\\m\angle 7=180^\circ-128^\circ\\\\m\angle 7=52^\circ[/tex]
Hence, Option 'c' is correct.