Question

which angles are alternate exterior angles? ∠1 and ∠8 ∠2 and ∠8 ∠1 and ∠5 ∠4 and ∠6 parallel lines s and t are cut by a transversal r.

Explanation:

Step1: Recall alternate exterior angles definition

Alternate exterior angles are non - adjacent angles that lie outside the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each pair

• For \(\angle1\) and \(\angle8\): \(\angle1\) is outside the parallel lines \(s\) and \(t\), \(\angle8\) is also outside. They are on opposite sides of the transversal \(r\).
• For \(\angle2\) and \(\angle8\): \(\angle2\) is inside the region between the parallel lines (not exterior).
• For \(\angle1\) and \(\angle5\): \(\angle5\) is inside the region between the parallel lines (not exterior).
• For \(\angle4\) and \(\angle6\): Both \(\angle4\) and \(\angle6\) are inside the region between the parallel lines (not exterior).

Answer:

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