Question

16 which pairs of angles are alternate exterior angles? check all answers that apply. a ∠2, ∠7 b ∠3, ∠6 c ∠3, ∠8 d ∠2, ∠4 e ∠1, ∠6 f ∠4, ∠8

Explanation:

Step1: Recall alternate - exterior angles definition

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

Step2: Analyze each option

For two parallel lines \(l\) and \(m\) cut by a transversal \(n\):

• Option A: \(\angle2\) and \(\angle7\) are non - adjacent, lie outside lines \(l\) and \(m\) and on opposite sides of the transversal \(n\).
• Option B: \(\angle3\) and \(\angle6\) are alternate - interior angles (lie inside the two lines and on opposite sides of the transversal).
• Option C: \(\angle3\) and \(\angle8\) are not in the correct position for alternate - exterior angles.
• Option D: \(\angle2\) and \(\angle4\) are vertical angles.
• Option E: \(\angle1\) and \(\angle6\) are non - adjacent, lie outside lines \(l\) and \(m\) and on opposite sides of the transversal \(n\).
• Option F: \(\angle4\) and \(\angle8\) are corresponding angles.

Answer:

A. \(\angle2,\angle7\)
E. \(\angle1,\angle6\)