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In this diagram, we have two parallel lines \(g\) and \(h\) that are intersected by a transversal \(b\). The angles created by these lines are numbered from 1 to 8. You are asked to identify:

1. A pair of alternate exterior angles.
2. A pair of alternate interior angles.
3. A pair of corresponding angles.

### Solution:
(a) **Alternate exterior angles**:
These are the angles that are on opposite sides of the transversal \(b\) and outside the two parallel lines \(g\) and \(h\).

- Angle 1 and angle 8 form a pair of alternate exterior angles.
  
(b) **Alternate interior angles**:
These are the angles that are on opposite sides of the transversal \(b\) but inside the two parallel lines \(g\) and \(h\).

- Angle 3 and angle 5 form a pair of alternate interior angles.

(c) **Corresponding angles**:
These are the angles that are on the same side of the transversal \(b\) and in corresponding positions relative to the parallel lines \(g\) and \(h\).

- Angle 2 and angle 6 form a pair of corresponding angles.

### Summary:
- (a) Alternate exterior angles: \(\angle 1\) and \(\angle 8\)
- (b) Alternate interior angles: \(\angle 3\) and \(\angle 5\)
- (c) Corresponding angles: \(\angle 2\) and \(\angle 6\)

Would you like any further details or clarifications?

Here are 5 related questions:
1. Can alternate exterior angles ever be supplementary?
2. How do we determine if two lines are parallel using corresponding angles?
3. What is the sum of the angles on a straight line?
4. Are alternate interior angles always congruent when the lines are parallel?
5. How can we apply these angle relationships in real-world situations?

**Tip:** Remember, for parallel lines cut by a transversal, alternate interior and corresponding angles are always congruent!

Give a pair of alternate exterior angles, a pair of alternate interior angles, and a pair of corresponding angles from the diagram of two parallel lines cut by a transversal.

Learn how to identify alternate exterior angles, alternate interior angles, and corresponding angles in a diagram involving two parallel lines cut by a transversal. This exercise covers key geometric concepts such as the Alternate Interior Angles Theorem and the Corresponding Angles Postulate. Suitable for students in Grades 7-9.

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