Answer: The correct option is (B) 65°.
Step-by-step explanation: Given that the lines a and b are parallel and m∠6 = 65°.
We are to find the measure of angle 3.
From the figure, we note that
parallel lines a and b are cut by a tranversal. So, angle 2 and angle 6 are corresponding angles.
This implies that
[tex]m\angle 2=m\angle 6=65^\circ.[/tex]
Now, angle 2 and angle 3 are vertically opposite angles and so their measures should be equal.
That is,
[tex]m\angle 3=m\angle 2=65^\circ.[/tex]
Thus, the measure of angle 3 is 65°.
Option (B) is CORRECT.
