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To find the value of angle \( x \), we need to use the fact that the sum of the interior angles of any quadrilateral is \( 360^\circ \).

In the given quadrilateral, the angles are:
- \( 70^\circ \)
- \( 40^\circ \)
- \( 110^\circ \)
- \( x^\circ \) (which we need to find)

We can set up the following equation:
\[
70^\circ + 40^\circ + 110^\circ + x^\circ = 360^\circ
\]

Now, I'll solve for \( x \).The value of \( x \) is \( 140^\circ \).

Would you like any further details or have any questions? 

Here are 5 related questions to expand on this topic:
1. How can you calculate the sum of interior angles for polygons with more than 4 sides?
2. What are the properties of convex and concave quadrilaterals?
3. How do exterior angles relate to the interior angles of polygons?
4. What is the difference between cyclic and non-cyclic quadrilaterals?
5. Can quadrilaterals exist with interior angles greater than \( 180^\circ \)?

**Tip:** When solving for unknown angles in polygons, always verify if the shape is regular or irregular, as this affects angle relationships.

Find the value of x in the given quadrilateral with angles 70°, 40°, 110°, and x°.

Learn how to find the missing angle in a quadrilateral given the angles 70°, 40°, and 110°. This problem involves applying the quadrilateral angle sum theorem, suitable for students in Grades 6-8.

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