Question

which angles are alternate exterior angles with ∠11? ∠6 and ∠16 ∠7 and ∠15 ∠8 and ∠14 ∠5 and ∠13

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 \(\angle6\) and \(\angle16\):
• \(\angle6\) is an exterior angle. \(\angle16\) is also an exterior angle.
• They lie on opposite sides of the transversal.
• For \(\angle7\) and \(\angle15\):
• \(\angle7\) is an interior angle (not an exterior angle), so this pair is not alternate exterior angles.
• For \(\angle8\) and \(\angle14\):
• \(\angle8\) is an interior angle (not an exterior angle), so this pair is not alternate exterior angles.
• For \(\angle5\) and \(\angle13\):
• \(\angle5\) is an interior angle (not an exterior angle), so this pair is not alternate exterior angles.

Answer:

\(\angle6\) and \(\angle16\)