Question

give a pair of corresponding angles, a pair of alternate interior angles, and a pair of alternate exterior angles. (a) corresponding angles: ∠□ and ∠□ (b) alternate interior angles: ∠□ and ∠□ (c) alternate exterior 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, \(\angle2\) and \(\angle6\) are in the upper - right position at their respective intersections.
• Alternate interior angles: Alternate interior angles are between the two lines and on opposite sides of the transversal. \(\angle4\) and \(\angle6\) fit this description.
• Alternate exterior angles: Alternate exterior angles are outside the two lines and on opposite sides of the transversal. \(\angle1\) and \(\angle8\) meet this criterion.

Answer:

(a) Corresponding angles: \(\angle2\) and \(\angle6\)
(b) Alternate interior angles: \(\angle4\) and \(\angle6\)
(c) Alternate exterior angles: \(\angle1\) and \(\angle8\)