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To solve for \( m \angle MNO \), we can use the following approach:

### Step-by-Step Solution
1. **Identify Known Angles**:
   - We know that \( m \angle MNP = 53^\circ \).
   - We also know that \( m \angle PNO = 36^\circ \).

2. **Recognize the Relationship Between the Angles**:
   - Since \( MNP \) and \( PNO \) are adjacent angles that share the common point \( N \) and lie along the line segment \( NO \), they together form the angle \( MNO \).
   - Therefore, \( m \angle MNO = m \angle MNP + m \angle PNO \).

3. **Calculate \( m \angle MNO \)**:
   \[
   m \angle MNO = 53^\circ + 36^\circ = 89^\circ
   \]

### Conclusion
Thus, \( m \angle MNO = 89^\circ \).

Would you like more details on any step or have any questions?

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Here are five related questions to deepen your understanding:
1. How would the solution change if \( m \angle MNP \) or \( m \angle PNO \) was different?
2. What if there was a third angle between \( N \) and \( O \) along the line—how would that affect \( m \angle MNO \)?
3. How can we verify if \( N \), \( P \), and \( O \) lie in a straight line?
4. Why do we add angles \( m \angle MNP \) and \( m \angle PNO \) to find \( m \angle MNO \)?
5. What is the sum of angles around a point like \( N \) in general, and why?

**Tip:** Remember that adjacent angles along a straight line add up to \( 180^\circ \).

Solve for m∠MNO if m∠MNP = 53° and m∠PNO = 36°.

Learn how to solve for angle MNO given m∠MNP = 53° and m∠PNO = 36° using the angle addition postulate. This problem covers key geometric concepts and is suitable for students in Grades 7-9.

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