The problem asks to find the value of $p$ in a triangle with angles $4p$, $6p$, and $2p$.

1. Problem Description

The problem asks to find the value of $p$ in a triangle with angles $4p$, $6p$, and $2p$.

2. Solution Steps

The sum of the angles in a triangle is 180 degrees.

Therefore, we can write the equation:

$4p + 6p + 2p = 180$

Combine the terms with $p$:

$12p = 180$

Divide both sides by 12 to solve for $p$:

$p = \frac{180}{12}$

$p = 15$

3. Final Answer

The value of $p$ is 15.