Let's break down the problem. You mentioned an equation to find the value of $x$, so I will analyze the figure. I'll first look at the relationships between the angles and determine how to form the equation. I'll be back shortly with the details!

Let me check the image to understand the situation better. PIL import Image

Load the image to inspect

img_path = "/mnt/data/1737678990663u0jjvr4q.jpg" img = Image.open(img_path) img.show()I've displayed the image, and I can now see the angles and lines. From the figure:

1. There are two angles: 22° and $4x^\circ$.
2. These two angles are on a straight line, so they are supplementary, meaning they add up to 180°.

To find the equation for $x$, you can use the fact that the sum of the angles on a straight line is 180°:

$22^\circ + 4x^\circ = 180^\circ$

This is the equation to solve for $x$. Would you like to continue with solving this or need further clarification?

Here are some related questions to explore further:

1. What does it mean for two angles to be supplementary?
2. How do you solve a linear equation like $22^\circ + 4x^\circ = 180^\circ$?
3. What happens if the angles were complementary instead?
4. How would the equation change if the angles were equal instead of supplementary?
5. What real-life scenarios involve supplementary angles?

Tip: Always check the relationship between the angles first—whether they are complementary, supplementary, or something else—before forming your equation.