Question

give one example for each of the following types of angle pairs: corresponding angles, alternate exterior angles, alternate interior angles, consecutive exterior angles, and consecutive interior angles. drag the correct angle pair into the box next to the statement it matches. corresponding angles alternate interior angles consecutive exterior angles consecutive interior angles alternate exterior angles ∠1 and ∠8 ∠1 and ∠5 ∠3 and ∠6 ∠3 and ∠5 ∠1 and ∠7

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position. $\angle1$ and $\angle5$ are corresponding angles.

Step2: Recall alternate - interior angles definition

Alternate interior angles are between the two lines and on opposite sides of the transversal. $\angle3$ and $\angle6$ are alternate interior angles.

Step3: Recall consecutive - exterior angles definition

Consecutive exterior angles are outside the two lines and on the same side of the transversal. $\angle1$ and $\angle7$ are consecutive exterior angles.

Step4: Recall consecutive - interior angles definition

Consecutive interior angles are between the two lines and on the same side of the transversal. $\angle3$ and $\angle5$ are consecutive interior angles.

Step5: Recall alternate - exterior angles definition

Alternate exterior angles are outside the two lines and on opposite sides of the transversal. $\angle1$ and $\angle8$ are alternate exterior angles.

Answer:

corresponding angles: $\angle1$ and $\angle5$
alternate interior angles: $\angle3$ and $\angle6$
consecutive exterior angles: $\angle1$ and $\angle7$
consecutive interior angles: $\angle3$ and $\angle5$
alternate exterior angles: $\angle1$ and $\angle8$