https://file.aiquickdraw.com/mathbot/file/1725430754441h8vague7.jpg

To solve for \( x \) in the given triangle, let's analyze the information provided in the image.

The triangle has the following angles:
- \( 71^\circ \)
- \( 50^\circ \)
- \( x^\circ \) (which we need to find)

In any triangle, the sum of the interior angles is always \( 180^\circ \). Therefore, we can write the equation:

\[
71^\circ + 50^\circ + x^\circ = 180^\circ
\]

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

\[
x^\circ = 180^\circ - 71^\circ - 50^\circ
\]

\[
x^\circ = 180^\circ - 121^\circ
\]

\[
x^\circ = 59^\circ
\]

So, the value of \( x \) is \( 59^\circ \).

Would you like more details or have any other questions? 

Here are 5 related questions you might find interesting:
1. How do you determine the type of triangle based on its angles?
2. What is the relationship between the sides and angles in a triangle?
3. Can a triangle have more than one obtuse angle? Why or why not?
4. How do you solve for an unknown angle when two sides and one angle are given?
5. What are some real-world applications of triangle angle calculations?

**Tip:** Always remember that the sum of the interior angles in any triangle is \(180^\circ\). This is a fundamental rule used in many geometry problems.

The diagram shows a triangle. What is the value of x?

Solve the triangle angle problem by using the Triangle Angle Sum Theorem. The problem involves calculating the third angle when the other two angles are given (71° and 50°). Perfect for students in Grades 7-9.

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