The problem asks to find the value of angle $p$ in the diagram. The angles $12^\circ$, $21^\circ$, and $14^\circ$ are given. The angles are formed by intersecting lines.

1. Problem Description

The problem asks to find the value of angle $p$ in the diagram. The angles $12^\circ$, $21^\circ$, and $14^\circ$ are given. The angles are formed by intersecting lines.

2. Solution Steps

When two lines intersect, the vertically opposite angles are equal. Therefore, the sum of the angles $12^\circ$, $21^\circ$, and $14^\circ$ is equal to the angle $p$.

The sum of the angles on the left side is $12^\circ + 21^\circ + 14^\circ$.

Adding the angles:

$12 + 21 + 14 = 47$

So, the sum of the angles on the left side is $47^\circ$. Since these angles are vertically opposite to angle $p$, then $p$ equals the sum.

Therefore, $p = 47^\circ$.

3. Final Answer

$p = 47^\circ$