We are given a diagram with two intersecting lines. One of the angles formed by the intersection is given as $45^\circ$. We need to find the value of the angle $y$, which is the angle supplementary to the given $45^\circ$ angle.

1. Problem Description

We are given a diagram with two intersecting lines. One of the angles formed by the intersection is given as $45^\circ$. We need to find the value of the angle $y$, which is the angle supplementary to the given $45^\circ$ angle.

2. Solution Steps

Supplementary angles add up to $180^\circ$.

$y + 45^\circ = 180^\circ$

To solve for $y$, subtract $45^\circ$ from both sides of the equation.

$y = 180^\circ - 45^\circ$

$y = 135^\circ$

3. Final Answer

The value of $y$ is $135^\circ$.