<h3>Step-1: Understanding the Diagram</h3>
Since we can see the "square" at the bottom left corner of the angle, the square indicates that the angle is a right angle (which measures 90°).
We can also see three smaller angles <em>forming the </em><em>right angle</em>. Therefore, the sum of the measure of the smaller angles = 90°.
According to the diagram, the measures of the smaller angles are x°, 2x°, and (x + 10)° respectively. Then we get the following equation:
![\implies x + 2x + (x + 10) = 90\°](https://tex.z-dn.net/?f=%5Cimplies%20x%20%2B%202x%20%2B%20%28x%20%2B%2010%29%20%3D%2090%5C%C2%B0)
<h3>Step-2: Solving the equation obtained in step-1</h3>
Here, we had the equation: ![\underline{x + 2x + (x + 10) = 90\°}](https://tex.z-dn.net/?f=%5Cunderline%7Bx%20%2B%202x%20%2B%20%28x%20%2B%2010%29%20%3D%2090%5C%C2%B0%7D)
![\text{(Ope} \text{ning the parentheses)}](https://tex.z-dn.net/?f=%5Ctext%7B%28Ope%7D%20%5Ctext%7Bning%20the%20parentheses%29%7D)
![\text{(Combining like terms)}](https://tex.z-dn.net/?f=%5Ctext%7B%28Combining%20like%20terms%29%7D)
![\text{(Subtracting 10 on both sides)}](https://tex.z-dn.net/?f=%5Ctext%7B%28Subtracting%2010%20on%20both%20sides%29%7D)
![\text{(Simplifying both sides)}](https://tex.z-dn.net/?f=%5Ctext%7B%28Simplifying%20both%20sides%29%7D)
![\text{(Simplifying both sides)}](https://tex.z-dn.net/?f=%5Ctext%7B%28Simplifying%20both%20sides%29%7D)
Therefore, the value of x, in the diagram provided, is 20.