Question

1. using the diagram below, classify the angle pairs as corresponding, alternate interior, alternate exterior, consecutive interior, consecutive exterior, or none.

a. ∠4 and ∠7
b. ∠2 and ∠11
c. ∠6 and ∠16
d. ∠8 and ∠13
e. ∠11 and ∠15
f. ∠7 and ∠10
g. ∠9 and ∠14
h. ∠12 and ∠15
i. ∠6 and ∠7
j. ∠1 and ∠3
k. ∠14 and ∠16
l. ∠6 and ∠15
m. ∠5 and ∠10
n. ∠8 and ∠14

Explanation:

Step1: Recall angle - pair definitions

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others. 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. Consecutive interior angles are between the two lines and on the same side of the transversal.

Step2: Analyze each angle - pair

a. ∠4 and ∠7

They are alternate interior angles.

b. ∠2 and ∠11

They are corresponding angles.

c. ∠6 and ∠16

They are alternate exterior angles.

d. ∠8 and ∠13

They are corresponding angles.

e. ∠11 and ∠15

They are consecutive interior angles.

f. ∠7 and ∠10

They are alternate interior angles.

g. ∠9 and ∠14

They are corresponding angles.

h. ∠12 and ∠15

They are consecutive interior angles.

i. ∠6 and ∠7

They are consecutive interior angles.

j. ∠1 and ∠3

They are corresponding angles.

k. ∠14 and ∠16

They are consecutive exterior angles.

l. ∠6 and ∠15

They are none of the above special angle - pairs.

m. ∠5 and ∠10

They are corresponding angles.

n. ∠8 and ∠14

They are alternate exterior angles.

Answer:

a. Alternate interior
b. Corresponding
c. Alternate exterior
d. Corresponding
e. Consecutive interior
f. Alternate interior
g. Corresponding
h. Consecutive interior
i. Consecutive interior
j. Corresponding
k. Consecutive exterior
l. None
m. Corresponding
n. Alternate exterior