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To solve for \( x \) in the given triangle, we can use the following steps:

### 1. Use the Exterior Angle Theorem:
The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. Here, the exterior angle is \( 143^\circ \), and the two non-adjacent interior angles are the right angle (\( 90^\circ \)) and \( x^\circ \).

Thus, we can write the equation:
\[
143^\circ = 90^\circ + x^\circ
\]

### 2. Solve for \( x \):
\[
x = 143^\circ - 90^\circ = 53^\circ
\]

So, the value of \( x \) is \( 53^\circ \).

### Summary:
The value of \( x \) is \( \boxed{53^\circ} \).

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Would you like more details on any specific step or have any further questions? Here are 5 related questions to expand your understanding:

1. How does the Exterior Angle Theorem work in non-right triangles?
2. What is the sum of all interior angles of any triangle?
3. Can you explain how the exterior angle changes when a triangle is not right-angled?
4. How do we approach solving for missing angles if two angles are given?
5. What is the difference between exterior and interior angles in polygons?

**Tip:** When solving angle-related problems in triangles, remember that the sum of the interior angles of any triangle is always \( 180^\circ \).

A side of the triangle below has been extended to form an exterior angle of 143°. Find the value of x.

Learn how to find the value of an unknown angle in a triangle using the Exterior Angle Theorem. This problem involves understanding the relationship between interior and exterior angles, suitable for students in Grades 7-9.

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