https://file.aiquickdraw.com/mathbot/file/1724576818590lvyi25qv.jpg

To determine the value of \( x \) in the given image, I'll first analyze the geometric figure depicted.

### Analysis:
The image shows a quadrilateral where two angles are labeled:
- One angle is labeled as \( x \) (which we need to find),
- Another angle is labeled as \( 70^\circ \),
- Two right angles (\( 90^\circ \)) are indicated by square symbols.

### Solution:
In any quadrilateral, the sum of the interior angles is \( 360^\circ \). Given this information, we can set up the equation for the sum of the angles.

1. Sum of the angles:
   \[
   x + 70^\circ + 90^\circ + 90^\circ = 360^\circ
   \]
   Simplifying the equation:
   \[
   x + 250^\circ = 360^\circ
   \]
2. Solving for \( x \):
   \[
   x = 360^\circ - 250^\circ = 110^\circ
   \]

Thus, the value of \( x \) is \( 110^\circ \).

Would you like a detailed explanation or have any questions?

### Follow-up Questions:
1. What is the sum of the interior angles of a pentagon?
2. How can you find the value of an unknown angle in a triangle if two angles are known?
3. What is the sum of the interior angles of any polygon with \( n \) sides?
4. How does knowing the properties of specific types of quadrilaterals help in solving angle problems?
5. What is the difference between supplementary and complementary angles?

### Tip:
When working with quadrilaterals, always remember that the sum of all interior angles is \( 360^\circ \). This is a key property that helps solve many geometric problems involving quadrilaterals.

Learn how to find the degree of angle x in a quadrilateral using geometric principles. This problem involves analyzing the sum of interior angles in a quadrilateral, with step-by-step calculations to determine the value of x as 110 degrees. Suitable for students in Grades 7-9.

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