Question

give a pair of alternate exterior angles, a pair of alternate interior angles, and a pair of corresponding angles. (a) alternate exterior angles: ∠ and ∠ (b) alternate interior angles: ∠ and ∠ (c) corresponding angles: ∠ and ∠ your answer is incorrect. (a): your answer is incorrect. try again

Explanation:

Step1: Recall angle - pair definitions

Alternate exterior angles are outside the two lines and on opposite sides of the transversal. Alternate interior angles are between the two lines and on opposite sides of the transversal. Corresponding angles are in the same relative position with respect to the lines and the transversal.

Step2: Identify alternate exterior angles

For the given parallel - line and transversal setup, a pair of alternate exterior angles is $\angle1$ and $\angle7$.

Step3: Identify alternate interior angles

A pair of alternate interior angles is $\angle3$ and $\angle5$.

Step4: Identify corresponding angles

A pair of corresponding angles is $\angle1$ and $\angle5$.

Answer:

(a) $\angle1$ and $\angle7$
(b) $\angle3$ and $\angle5$
(c) $\angle1$ and $\angle5$