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The diagram you've uploaded shows two parallel lines and a transversal intersecting them. The angle marked as \(45^\circ\) is an interior angle formed between one of the parallel lines and the transversal.

### 1. Identifying the Angle Pair:
The missing angle marked by a question mark is a **corresponding angle** to the given \(45^\circ\) angle. Corresponding angles are equal when a transversal crosses two parallel lines.

### 2. Finding the Missing Measure:
Since the two angles are corresponding, they must be equal. Therefore, the missing angle also measures \(45^\circ\).

The missing angle is \(45^\circ\).

Would you like more details or further clarification on any part of the explanation?

Here are 5 related questions to expand your understanding:
1. What are alternate interior angles and how do they differ from corresponding angles?
2. How can you identify which angles are supplementary when two parallel lines are cut by a transversal?
3. What is the relationship between vertically opposite angles?
4. How can you find the measure of other angles in the same diagram using angle relationships?
5. Can you solve problems involving transversals when the lines are not parallel?

**Tip:** When working with parallel lines and a transversal, always look for angle relationships like corresponding, alternate interior, or alternate exterior angles. These relationships help in finding unknown angles quickly.

Identify the angle pair in the diagram, then find the missing measure.

This problem involves identifying corresponding angles when two parallel lines are intersected by a transversal. Learn how to determine the missing angle using the Corresponding Angles Theorem. Suitable for students in Grades 6-8.

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