We are given a diagram with two intersecting lines. One angle formed by the intersection is labeled $75^{\circ}$, and another is labeled $40^{\circ}$. We need to find the angle labeled $z$.

1. Problem Description

We are given a diagram with two intersecting lines. One angle formed by the intersection is labeled $75^{\circ}$, and another is labeled $40^{\circ}$. We need to find the angle labeled $z$.

2. Solution Steps

The angles $75^{\circ}$, $40^{\circ}$, and $z$ appear to be angles in a triangle.

The sum of the angles in a triangle is $180^{\circ}$.

Therefore, $75^{\circ} + 40^{\circ} + z = 180^{\circ}$.

$115^{\circ} + z = 180^{\circ}$

$z = 180^{\circ} - 115^{\circ}$

$z = 65^{\circ}$

3. Final Answer

$z = 65^{\circ}$