Question

which angles are alternate exterior angles?
∠1 and ∠8
∠2 and ∠8
∠1 and ∠5
∠4 and ∠6

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are non - adjacent exterior angles that lie on opposite sides of the transversal.

Step2: Analyze each pair

• For \(\angle1\) and \(\angle8\):
• \(\angle1\) is an exterior angle on one side of the transversal \(r\), and \(\angle8\) is an exterior angle on the opposite side of the transversal \(r\).
• Also, they are non - adjacent.
• For \(\angle2\) and \(\angle8\): \(\angle2\) is an interior angle, so this pair is not alternate exterior angles.
• For \(\angle1\) and \(\angle5\): \(\angle5\) is an interior angle, so this pair is not alternate exterior angles.
• For \(\angle4\) and \(\angle6\): Both are interior angles, so this pair is not alternate exterior angles.

Answer:

\(\angle1\) and \(\angle8\)