Question

example 3 name the type of angle relationship. if no relationship exists, write “none.” a. ∠1 and ∠8 b. ∠2 and ∠3 c. ∠5 and ∠7 d. ∠2 and ∠7 e. ∠1 and ∠3 f. ∠5 and ∠8 example 4 a. ∠5 and ∠13 corresponding b. ∠7 and ∠14 c. ∠3 and ∠6 d. ∠9 and ∠14 e. ∠4 and ∠7 f. ∠2 and ∠10 g. ∠8 and ∠14 h. ∠6 and ∠11 i. ∠4 and ∠13 j. ∠4 and ∠9

Explanation:

Step1: Recall angle - relationship definitions

Corresponding angles are in the same relative position, 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, and same - side interior angles are between the two lines and on the same side of the transversal.

Step2: Analyze Example 3

a. ∠1 and ∠8

They are alternate - exterior angles.

b. ∠2 and ∠3

They are vertical angles.

c. ∠5 and ∠7

They are same - side interior angles.

d. ∠2 and ∠7

They are none.

e. ∠1 and ∠3

They are none.

f. ∠5 and ∠8

They are none.

Step3: Analyze Example 4

a. ∠5 and ∠13 (already given as corresponding)

b. ∠7 and ∠14

They are corresponding angles.

c. ∠3 and ∠6

They are alternate - interior angles.

d. ∠9 and ∠14

They are none.

e. ∠4 and ∠7

They are none.

f. ∠2 and ∠10

They are corresponding angles.

g. ∠8 and ∠14

They are none.

h. ∠6 and ∠11

They are none.

i. ∠4 and ∠13

They are none.

j. ∠4 and ∠9

They are alternate - interior angles.

Answer:

Example 3:
a. alternate - exterior
b. vertical
c. same - side interior
d. none
e. none
f. none
Example 4:
a. corresponding
b. corresponding
c. alternate - interior
d. none
e. none
f. corresponding
g. none
h. none
i. none
j. alternate - interior