Question

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

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 upper - left position at their respective intersections of line \(h\) with lines \(a\) and \(b\).
• Alternate interior angles: Alternate interior angles are between the two lines (\(a\) and \(b\)) and on opposite sides of the transversal (\(h\)). \(\angle2\) and \(\angle7\) satisfy this condition.
• Alternate exterior angles: Alternate exterior angles are outside the two lines (\(a\) and \(b\)) and on opposite sides of the transversal (\(h\)). \(\angle1\) and \(\angle8\) meet this criterion.

Answer:

(a) Corresponding angles: \(\angle1\) and \(\angle3\)
(b) Alternate interior angles: \(\angle2\) and \(\angle7\)
(c) Alternate exterior angles: \(\angle1\) and \(\angle8\)