Question

2 look at the intersection of w. waveland ave and n. sheffield ave. notice the northwest corner is labeled ∠1. label the other angles of this intersection in clock - wise order angles 2, 3, and 4. next, label the angles created by the intersection of w. addison st and n. sheffield ave. angles 14, 15, 16, and 17 clockwise, starting at the northwest corner.
a. determine the type of angle pair for ∠1 and ∠14
b. determine the type of angle pair for ∠3 and ∠15.
c. determine the type of angle pair for ∠1 and ∠16.
d. determine the type of angle pair for ∠1 and ∠17
e. determine the type of angle pair for ∠3 and ∠14.

1. determine the measure of all the angles in each diagram.

a.
b.

Explanation:

Step1: Recall angle - pair definitions

Corresponding angles are in the same relative position at different intersections. Alternate - interior angles are between the two lines and on opposite sides of the transversal. Alternate - exterior angles are outside the two lines and on opposite sides of the transversal. Same - side interior angles are between the two lines and on the same side of the transversal.

Step2: Analyze angle pairs for part a

Assuming the two intersections are related by a transversal, if the lines are parallel, ∠1 and ∠14 are corresponding angles as they are in the same relative position at the two intersections.

Step3: Analyze angle pairs for part b

∠3 and ∠15 are alternate - interior angles. They are between the two lines formed by the intersections and on opposite sides of the transversal.

Step4: Analyze angle pairs for part c

∠1 and ∠16 are alternate - exterior angles. They are outside the two lines formed by the intersections and on opposite sides of the transversal.

Step5: Analyze angle pairs for part d

∠1 and ∠17 are same - side exterior angles. They are outside the two lines and on the same side of the transversal.

Step6: Analyze angle pairs for part e

∠3 and ∠14 are alternate - exterior angles. They are outside the two lines and on opposite sides of the transversal.

Answer:

a. Corresponding angles
b. Alternate - interior angles
c. Alternate - exterior angles
d. Same - side exterior angles
e. Alternate - exterior angles