https://file.aiquickdraw.com/mathbot/file/1729405505716nkuupmmb.jpg

The image shows a quadrilateral with given interior angles of 71°, 79°, 117°, and an unknown angle labeled as \( x \). To find \( x \), we will use the fact that the sum of the interior angles of any quadrilateral is always \( 360^\circ \).

The sum of the given angles is:
\[
71^\circ + 79^\circ + 117^\circ = 267^\circ
\]

Now, to find \( x \):
\[
x = 360^\circ - 267^\circ = 93^\circ
\]

Thus, \( x = 93^\circ \).

Would you like more details, or do you have any other questions?

Here are five related questions:
1. How do you calculate the sum of interior angles for a polygon?
2. What is the sum of the interior angles of a pentagon?
3. Can the interior angles of a quadrilateral be greater than \(180^\circ\)?
4. How does the shape change if one of the angles is changed?
5. What is the relationship between exterior and interior angles?

**Tip**: For any polygon, the sum of the interior angles can be found using the formula \( (n-2) \times 180^\circ \), where \( n \) is the number of sides.

Find the missing angle x in a quadrilateral with the given angles: 71°, 79°, and 117°.

Learn how to calculate the missing angle in a quadrilateral where the given angles are 71°, 79°, and 117°. Use the sum of interior angles formula for quadrilaterals to solve this problem. Suitable for students in Grades 6-8.

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