Work out the size of angle p.

Step 1: Adjacent angles formed by two intersecting straight lines sum to $180^\circ$.
Angle $p$ is adjacent to the $114^\circ$ angle.
$p + 114^\circ = 180^\circ$

Step 2: Subtract $114^\circ$ from both sides.
$p = 180^\circ - 114^\circ$

Step 3: Simplify the right side.
$p = 66^\circ$

Check: Vertically opposite angles are equal. Angle $p$ is vertically opposite the given $66^\circ$ angle.
Thus, $p = 66^\circ$.

66^\circ