https://file.aiquickdraw.com/mathbot/file/1726268444556wgg2w39l.jpg

The image you've uploaded shows a quadrilateral with three angles provided: 87°, 113°, and 75°. We need to find the unknown angle, labeled as \( x \).

In any quadrilateral, the sum of the interior angles is always 360°. Therefore, we can set up the equation:

\[
87^\circ + 113^\circ + 75^\circ + x = 360^\circ
\]

Now, let's solve for \( x \):

\[
x = 360^\circ - (87^\circ + 113^\circ + 75^\circ)
\]

I'll calculate the value of \( x \).It seems like I can’t do more advanced data analysis right now. Please try again later.

However, you can solve this problem manually:

1. Add the given angles: 
\[
87^\circ + 113^\circ + 75^\circ = 275^\circ
\]

2. Subtract this sum from 360°:
\[
x = 360^\circ - 275^\circ = 85^\circ
\]

Thus, the unknown angle \( x \) is \( 85^\circ \).

Would you like further details on this solution, or do you have any other questions?

Here are some related questions you might find interesting:
1. What is the sum of the interior angles for other polygons?
2. How do you solve for unknown angles in triangles?
3. Can the shape in the image be classified as a specific type of quadrilateral?
4. How do you determine if a quadrilateral is a parallelogram?
5. What are the properties of cyclic quadrilaterals?

**Tip:** In any polygon, the sum of interior angles increases by 180° for each additional side.

Find the missing angle x in a quadrilateral with the given angles: 87°, 113°, and 75°.

Learn how to calculate the missing angle in a quadrilateral with the provided angles 87°, 113°, and 75°. This problem covers key geometric concepts like the sum of interior angles and is suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation