The problem asks to find the value of $p$ in the given diagram where several lines intersect at a point, and the angles between the lines are labeled. The angles given are 65°, 38°, 60°, 25°, 105°, and $p$.

1. Problem Description

The problem asks to find the value of $p$ in the given diagram where several lines intersect at a point, and the angles between the lines are labeled. The angles given are 65°, 38°, 60°, 25°, 105°, and $p$.

2. Solution Steps

The angles around a point must sum to 360°. Therefore, we have the equation:

$65 + 38 + 60 + p + 105 + 25 = 360$

Now, we sum the known angles:

$65 + 38 + 60 + 105 + 25 = 293$

Substitute the sum back into the equation:

$293 + p = 360$

Subtract 293 from both sides to solve for $p$:

$p = 360 - 293$

$p = 67$

3. Final Answer

The value of $p$ is 67.