Question

practice
the figure shows part of a map of chicago illinois.

1. use the numbered angles to identify a pair that illustrates each relationship.

a. name a pair of alternate interior angles.
b. name a pair of alternate exterior angles.
c. name a pair of corresponding angles.
d. name a pair of same - side interior angles.
e. name a pair of same - side exterior angles.

Explanation:

Step1: Recall angle - pair definitions

Alternate interior angles are between two lines and on opposite sides of a transversal.

Step2: Identify alternate - interior pair

Let's assume lines \(l_1\) and \(l_2\) are cut by transversal \(t\). A possible pair of alternate interior angles could be \(\angle3\) and \(\angle6\) (depending on the numbering in the actual figure).

Step3: Recall alternate - exterior definition

Alternate exterior angles are outside two lines and on opposite sides of a transversal. A possible pair could be \(\angle1\) and \(\angle8\).

Step4: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the lines and the transversal. A pair could be \(\angle1\) and \(\angle5\).

Step5: Recall same - side interior definition

Same - side interior angles are between two lines and on the same side of a transversal. A pair could be \(\angle3\) and \(\angle5\).

Step6: Recall same - side exterior definition

Same - side exterior angles are outside two lines and on the same side of a transversal. A pair could be \(\angle2\) and \(\angle7\).

Answer:

a. \(\angle3\) and \(\angle6\)
b. \(\angle1\) and \(\angle8\)
c. \(\angle1\) and \(\angle5\)
d. \(\angle3\) and \(\angle5\)
e. \(\angle2\) and \(\angle7\) (Note: The actual angle numbers may vary depending on the specific numbering in the given figure)