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In the given figure, lines **m** and **n** are parallel. We are asked to find the measure of angle 1, denoted as \( m \angle 1 \).

Let's use the properties of parallel lines and angles to solve this.

1. **Angle Relationships**:
   - **Angle 1** and **Angle 121°** are corresponding angles since lines **m** and **n** are parallel. In such a case, corresponding angles are equal when two parallel lines are cut by a transversal.
   
Therefore, we have:

\[
m \angle 1 = 121^\circ
\]

This is the measure of angle 1.

Would you like help finding the other angles or clarifying this result further?

Here are 5 related questions you might find helpful:
1. What is the measure of angle 2 using the properties of vertical angles?
2. Can you find the measure of angle 3 based on the alternate interior angles with respect to angle 76°?
3. What is the relationship between angles 4 and 76°?
4. How do you find the measure of angle 5 given the information in the diagram?
5. How do corresponding angles help in solving problems with parallel lines?

**Tip**: Always look for corresponding and alternate interior angles when working with parallel lines intersected by a transversal.

In this exercise, lines m and n are parallel. Find the measure of angle 1.

This problem involves finding the measure of angle 1 using the properties of parallel lines and corresponding angles. The solution shows that angle 1 is equal to 121°, based on the Corresponding Angles Postulate. Suitable for students in Grades 8-10.

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