Question

what type of pair of angles are \\( \angle 2 \\) and \\( \angle 11 \\)?

corresponding angles

alternate interior angles

alternate exterior angles

consecutive interior angles

Explanation:

Step1: Recall angle - pair definitions

• Corresponding angles: Angles that are in the same relative position. For example, if two parallel lines are cut by a transversal, \(\angle1\) and \(\angle9\) are corresponding angles.
• Alternate interior angles: Angles that lie between the two lines and on opposite sides of the transversal. For example, \(\angle3\) and \(\angle6\) (if we assume two parallel lines cut by a transversal).
• Alternate exterior angles: Angles that lie outside the two lines and on opposite sides of the transversal. For example, \(\angle1\) and \(\angle8\) (if we assume two parallel lines cut by a transversal).
• Consecutive interior angles: Angles that lie between the two lines and on the same side of the transversal.

Step2: Analyze the position of \(\angle2\) and \(\angle11\)

• \(\angle2\) is above the upper - left line and to the right of the transversal. \(\angle11\) is below the upper - right line and to the left of the transversal.
• They are on opposite sides of the transversal and outside the two "main" parallel - like lines (the two horizontal - looking lines).

Answer:

alternate exterior angles