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To solve this problem, we need to use the relationship between the exterior angle of a triangle and the interior opposite angles.

### Step-by-step solution:

1. The exterior angle is given as \( 141^\circ \).
2. The interior opposite angles to this exterior angle are:
   - \( 90^\circ \) (from the right angle in the triangle), and
   - \( x^\circ \) (the unknown angle we are solving for).

3. According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. Therefore:

\[
\text{Exterior angle} = \text{Interior angle 1} + \text{Interior angle 2}
\]
\[
141^\circ = 90^\circ + x
\]

4. Solve for \( x \):
\[
x = 141^\circ - 90^\circ = 51^\circ
\]

Thus, the value of \( x \) is **51°**.

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Would you like a more detailed explanation on the exterior angle theorem or any other topic?

Here are 5 related questions to expand your understanding:

1. What is the sum of all interior angles of a triangle?
2. How can you use the Pythagorean theorem to solve for unknown side lengths in a right triangle?
3. What is the exterior angle theorem and when is it applied?
4. How do supplementary angles relate to exterior angles in a triangle?
5. How do we calculate angles in an isosceles or equilateral triangle?

### Tip:
In any triangle, knowing one exterior angle allows you to easily find the sum of the two opposite interior angles.

A side of the triangle below has been extended to form an exterior angle of 141°. Find the value of x.

Learn how to find the value of x in a triangle where a side has been extended to form an exterior angle of 141°. This solution uses the exterior angle theorem and includes a step-by-step breakdown. Suitable for students in Grades 8-10.

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