The problem is to find the value of $P$ in the given diagram where two lines intersect.

1. Problem Description

The problem is to find the value of $P$ in the given diagram where two lines intersect.

2. Solution Steps

The sum of angles on one side of a straight line is $180^{\circ}$.

The angles $60^{\circ}$, $P$ and $10^{\circ}$ lie on one side of a straight line. Therefore, their sum must be equal to $180^{\circ}$.

$60 + P + 10 = 180$

$P + 70 = 180$

$P = 180 - 70$

$P = 110$

3. Final Answer

The value of $P$ is $110^{\circ}$.