Angles Generated by Transversals - Illustration of alternate exterior angles formed when a transversal crosses two parallel lines.

The image provided is a diagram illustrating angles formed by a transversal intersecting two parallel lines. The task appears to be identifying the "alternate exterior angles" as labeled in red text.

Let's break down the solution step-by-step:

Step 1: Understand the Terminology

- Transversal: A line that intersects two or more other lines.
- Parallel Lines: Two lines that never meet and are always the same distance apart.
- Alternate Exterior Angles: These are pairs of angles that lie on opposite sides of the transversal and outside the two parallel lines.

Step 2: Identify the Parallel Lines and Transversal

In the diagram:
- There are two horizontal lines with double arrowheads, indicating they are parallel.
- There is one diagonal line crossing both parallel lines — this is the transversal.

Step 3: Locate the Exterior Angles

Exterior angles are those that lie outside the space between the two parallel lines.

Looking at the diagram:
- At the top intersection (where the transversal crosses the upper parallel line), angles a and b are above the line, so they are exterior.
- At the bottom intersection (where the transversal crosses the lower parallel line), angles g and h are below the line, so they are also exterior.

So the exterior angles are: a, b, g, h

Step 4: Find the “Alternate” Pairs

“Alternate” means on opposite sides of the transversal.

So we look for pairs where one angle is on the left side of the transversal and the other is on the right side, and both are exterior.

- Angle a is on the left, exterior.
- Angle h is on the right, exterior.
→ So a and h are alternate exterior angles.

- Angle b is on the right, exterior.
- Angle g is on the left, exterior.
→ So b and g are alternate exterior angles.

Step 5: Confirm with Diagram Labeling

The diagram has red text saying “alternate exterior angles” pointing toward angles b and g. This confirms our identification.

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## ✔ Final Answer:

The alternate exterior angles in the diagram are:
- Angle b and Angle g
- Angle a and Angle h

These pairs are on opposite sides of the transversal and lie outside the two parallel lines. According to the properties of parallel lines cut by a transversal, alternate exterior angles are congruent (equal in measure).