Worksheet showing solutions for finding alternate exterior angles in parallel line diagrams.

Let’s solve each problem step by step.

We are looking for exterior alternate angles. These are angles that:
- Are on opposite sides of the transversal (the line crossing the two parallel lines),
- Are outside the two parallel lines,
- And when the lines are parallel, they are equal in measure.

In all these diagrams, lines AB and CD are parallel (shown with arrows), and EF is the transversal.

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Problem 1 (Top Left):

Given: Angle at top left = 105°
We need to find its exterior alternate angle — which is the one at bottom right (also labeled 105° in red).
Since the lines are parallel, exterior alternate angles are equal → so answer is 105°

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Problem 2 (Top Right):

Given: Angle at top right = 45°
Its exterior alternate angle is at bottom left (labeled 45° in red) → so answer is 45°

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Problem 3 (Middle Left):

Given: Angle at top right = 72°
Exterior alternate angle is at bottom left → should be equal → 72°

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Problem 4 (Middle Right):

Given: Angle at top left = 129°
Exterior alternate angle is at bottom right → should be equal → 129°

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Problem 5 (Bottom Left):

Given: Angle at top right = 71°
Exterior alternate angle is at bottom left → should be equal → 71°

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Problem 6 (Bottom Right):

Given: Angle at top right = 89°
Exterior alternate angle is at bottom left → should be equal → 89°

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All answers match what’s shown in red — because when lines are parallel, exterior alternate angles are always equal.

Final Answer:
105°, 45°, 72°, 129°, 71°, 89°