Questions: Use the diagram below to determine which angle pairs are alternate exterior angles. (Select all that apply) 2 3 2 7 4 8 1 8 4 5

Use the diagram below to determine which angle pairs are alternate exterior angles. (Select all that apply)
2  3
2  7
4  8
1  8
4  5
Transcript text: Use the diagram below to determine which angle pairs are alternate exterior angles. (Select all that apply) $2 \& 3$ $2 \& 7$ $4 \& 8$ $1 \& 8$ $4 \& 5$
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Solution

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Solution Steps

Step 1: Identify Alternate Exterior Angles

Alternate exterior angles are pairs of angles that lie on opposite sides of the transversal and outside the two lines.

Step 2: Determine the Pairs

From the diagram:

  • Angles 1 and 8 are on opposite sides of the transversal and outside lines m and n.
  • Angles 2 and 7 are on opposite sides of the transversal and outside lines m and n.
Step 3: Verify the Pairs

Check the given options to see which pairs match the identified alternate exterior angles:

  • 2 & 3: Not alternate exterior angles.
  • 2 & 7: Alternate exterior angles.
  • 4 & 8: Not alternate exterior angles.
  • 1 & 8: Alternate exterior angles.
  • 4 & 5: Not alternate exterior angles.

Final Answer

  • 2 & 7
  • 1 & 8
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