Question

10/08 - transversals without parallel lines practice l
a. name 2 pairs of alternate interior angles:
b. name 2 pairs of alternate exterior angles:
c. name 4 pairs of corresponding angles:
d. name 2 pairs of same side interior angles:
e. name 2 pairs of same side exterior angles:

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position.

Step2: Identify pairs

$\angle1$ and $\angle5$, $\angle2$ and $\angle6$, $\angle3$ and $\angle7$, $\angle4$ and $\angle8$ are corresponding - angle pairs.

Step3: Recall same - side interior angles definition

Same - side interior angles are between the two lines and on the same side of the transversal.

Step4: Identify pairs

$\angle3$ and $\angle5$, $\angle4$ and $\angle6$ are same - side interior angle pairs.

Step5: Recall same - side exterior angles definition

Same - side exterior angles are outside the two lines and on the same side of the transversal.

Step6: Identify pairs

$\angle1$ and $\angle7$, $\angle2$ and $\angle8$ are same - side exterior angle pairs.

Answer:

c. $\angle1$ and $\angle5$, $\angle2$ and $\angle6$, $\angle3$ and $\angle7$, $\angle4$ and $\angle8$
d. $\angle3$ and $\angle5$, $\angle4$ and $\angle6$
e. $\angle1$ and $\angle7$, $\angle2$ and $\angle8$