(a) The angle that is the vertically opposite angle to e is m ∠ g.
(b) The angle that is the corresponding to angle e is m ∠ n.
What is vertically opposite angle and corresponding angle?
Vertically opposite angles are formed by the intersection of two lines, opposite each other and equal in measure.
Corresponding angles are found when a transversal intersects parallel lines, with angles in matching positions being equal.
(a) The angle that is the vertically opposite angle to e is determined as;
m ∠ e = m ∠ g (vertically opposite angle are equal)
(b) The angle that is the corresponding to angle e is determined as;
m ∠ e = m ∠ n (corresponding angles are equal)
The complete diagram is in the image attached.