Kenal pasti sudut bertentang bucu dan sudut bersebelahan dalam rajah di bawah. Identify the vertically opposite angles and adjacent angles in the diagram below.

When two straight lines intersect, the angles opposite each other are called vertically opposite angles and are equal. In this diagram, lines AFB and CFD intersect at F.
Angle AFC ($x$) and Angle DFB ($y$) are vertically opposite angles.
Therefore, $x = y$

Angles on a straight line sum to $180^\circ$.
Consider the straight line AFB. Angle AFC ($x$) and Angle CFB are adjacent angles on this line.
So, $x + \text{Angle CFB} = 180^\circ$
This means $\text{Angle CFB} = 180^\circ - x$

We are given that Angle EFB is $54^\circ$.
From the diagram, Angle CFB is composed of Angle CFE and Angle EFB.
However, a more direct relationship can be observed: Angle CFB and Angle EFB are adjacent angles, and Angle DFB ($y$) is composed of Angle DFE and Angle EFB.
Looking at the diagram, Angle EFB ($54^\circ$) and Angle AFD are vertically opposite angles. This is a common interpretation in such diagrams where a ray intersects two straight lines.
If Angle EFB and Angle AFD are vertically opposite, then:

Angle AFC ($x$) and Angle AFD are adjacent angles on the straight line CFD.
So, $x + \text{Angle AFD} = 180^\circ$
Substitute the value of Angle AFD:

Since $x = y$ (from Step 1),

The values are:
$x = \boxed{126^\circ}$
$y = \boxed{126^\circ}$