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In the given image, you are asked to find the measure of angle \( \angle N \) in triangle \( \Delta MNO \), given that \( \Delta ABC \) is similar to \( \Delta MNO \).

### Key Concept:
- **Similarity of triangles** means corresponding angles are equal, and corresponding sides are proportional.

From the image:
- Triangle \( \Delta ABC \) has \( \angle ABC = 120^\circ \).
- Since \( \Delta ABC \sim \Delta MNO \), the angles corresponding to \( \angle ABC \), \( \angle BAC \), and \( \angle ACB \) in triangle \( \Delta MNO \) are equal to \( \angle MNO \), \( \angle NMO \), and \( \angle MON \), respectively.

Thus, \( \angle N \) corresponds to \( \angle B \). Therefore:

\[
\angle N = 120^\circ
\]

### Answer:
The measure of \( \angle N \) is \( \boxed{120^\circ} \).

Would you like further details or have any questions?

Here are 5 related questions you can explore:
1. How do we prove that two triangles are similar?
2. What are the properties of similar triangles?
3. How do corresponding angles in similar triangles relate to each other?
4. What are the side ratios in similar triangles?
5. How does knowing one angle help solve for others in a triangle?

**Tip:** In similar triangles, the corresponding angles are always congruent! Keep that in mind when solving for angles.

ΔABC is similar to ΔMNO. What's the measure of ∠N?

Solve for the measure of ∠N in triangle ΔMNO given that it is similar to ΔABC. Using the concept of corresponding angles in similar triangles, this problem provides a clear solution, suitable for students in Grades 8-10.

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