Question

give a pair of alternate interior angles, a pair of corresponding angles, and a pair of alternate exterior angles.
(a) alternate interior angles:
∠2 and ∠7
(b) corresponding angles:
∠5 and ∠7
(c) alternate exterior angles:
∠3 and ∠7
partially correct
your answer is incorrect.

• (c): your answer is incorrect.

try one last time

Explanation:

Step1: Identify alternate interior angles

Alternate interior angles are non - adjacent interior angles on opposite sides of the transversal. In the given figure, \(\angle2\) and \(\angle7\) are alternate interior angles.

Step2: Identify corresponding angles

Corresponding angles are in the same relative position. \(\angle5\) and \(\angle7\) are not corresponding angles. The correct pair of corresponding angles is \(\angle1\) and \(\angle3\) (or \(\angle2\) and \(\angle4\), \(\angle5\) and \(\angle7\), \(\angle6\) and \(\angle8\)).

Step3: Identify alternate exterior angles

Alternate exterior angles are non - adjacent exterior angles on opposite sides of the transversal. \(\angle3\) and \(\angle7\) are not alternate exterior angles. The correct pair of alternate exterior angles is \(\angle1\) and \(\angle7\) (or \(\angle2\) and \(\angle8\)).

Answer:

• Alternate interior angles: \(\angle2\) and \(\angle7\)
• Corresponding angles: \(\angle1\) and \(\angle3\) (or \(\angle2\) and \(\angle4\), \(\angle5\) and \(\angle7\), \(\angle6\) and \(\angle8\))
• Alternate exterior angles: \(\angle1\) and \(\angle7\) (or \(\angle2\) and \(\angle8\))