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Let's analyze the problem. We have a triangle with angles labeled, and we need to calculate the unknown angle \( x^\circ \).

### Key Observations:
- The diagram shows an exterior angle of \( 120^\circ \), a given angle of \( 80^\circ \), and the unknown angle \( x^\circ \).
- From the exterior angle theorem, the exterior angle \( 120^\circ \) is equal to the sum of the two opposite interior angles.

We can set up the following equation:
\[
120^\circ = 80^\circ + x^\circ
\]

### Solving for \( x^\circ \):
\[
x^\circ = 120^\circ - 80^\circ
\]
\[
x^\circ = 40^\circ
\]

However, this value doesn't appear in the provided answer options. This suggests that there might be a misinterpretation of the diagram or problem details. Let me recheck the figure.

Upon further inspection, the correct understanding is:

- \( x^\circ \) is part of a linear pair with the 120° angle (they are supplementary).
- The two angles together must sum to \( 180^\circ \).

Thus:
\[
x^\circ + 120^\circ = 180^\circ
\]
\[
x^\circ = 180^\circ - 120^\circ = 60^\circ
\]

This, too, doesn't appear in the answer choices.

Upon reflecting again on this:

Let's go step by step.

Would you like me to

Calculate the value of angle x in the given diagram, where one exterior angle is 120°, one interior angle is 80°, and x is the unknown angle.

Learn how to calculate the unknown angle x in a triangle given a 120° exterior angle and an 80° interior angle. This problem covers key geometry concepts such as the exterior angle theorem and supplementary angles.

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