Question

give a pair of corresponding angles, a pair of alternate exterior angles, and a pair of alternate interior angles. (a) corresponding angles: ∠ and ∠ (b) alternate exterior angles: ∠ and ∠ (c) alternate interior angles: ∠ and ∠

Explanation:

• Corresponding angles: Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others. For example, \(\angle1\) and \(\angle3\) are in the same "corner - like" position at their respective intersections.
• Alternate exterior angles: Alternate exterior angles are on opposite sides of the transversal and outside the two lines. \(\angle1\) and \(\angle7\) fit this description.
• Alternate interior angles: Alternate interior angles are on opposite sides of the transversal and inside the two lines. \(\angle2\) and \(\angle7\) meet this criterion.

Answer:

(a) Corresponding angles: \(\angle1\) and \(\angle3\)
(b) Alternate exterior angles: \(\angle1\) and \(\angle7\)
(c) Alternate interior angles: \(\angle2\) and \(\angle7\)