The angles of a triangle are given as $2p$, $4p$, and $6p$ (in degrees). We need to find the value of $p$.

1. Problem Description

The angles of a triangle are given as $2p$, $4p$, and $6p$ (in degrees). We need to find the value of $p$.

2. Solution Steps

The sum of the interior angles of a triangle is always 180 degrees. Therefore, we can write the equation:

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

Combining the terms on the left side, we have:

$12p = 180$

To solve for $p$, we divide both sides of the equation by 12:

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

$p = 15$

3. Final Answer

The value of $p$ is 15.