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The problem asks to solve for the missing angle \( x^\circ \) in the triangle shown. We can use the fact that the sum of the interior angles of a triangle is always 180°.

Given:
- One angle is 36°
- Another angle is 83°

Using the formula for the sum of interior angles:
\[
36^\circ + 83^\circ + x^\circ = 180^\circ
\]

Now, solve for \( x \):
\[
x^\circ = 180^\circ - 36^\circ - 83^\circ
\]
\[
x^\circ = 180^\circ - 119^\circ
\]
\[
x^\circ = 61^\circ
\]

Thus, \( x = 61^\circ \).

Would you like further details or have any questions?

Here are some related questions for further practice:
1. What is the sum of the interior angles in any polygon?
2. Can a triangle have two angles greater than 90°? Why or why not?
3. How do you find an exterior angle of a triangle?
4. If one angle of a triangle is 90°, what type of triangle is it?
5. How can you classify triangles based on their angles?

**Tip:** Always remember that the sum of the angles in any triangle is 180°, which is helpful in solving for unknown angles.

The measures of the angles of a triangle are 36°, 83°, and x°. Solve for x.

Learn how to solve for the unknown angle in a triangle where two angles are 36° and 83°. This problem involves the interior angle sum theorem, suitable for students in Grades 6-8.

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