Question

1. name the type of angle relationship. if no relationship exists, write “none”. a. ∠5 and ∠13 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

Based on the properties of angles formed by intersecting lines such as vertical angles, corresponding angles, alternate - interior angles, alternate - exterior angles, and consecutive interior angles.

Step2: Analyze each pair

a. ∠5 and ∠13: These are corresponding angles.
b. ∠7 and ∠14: These are alternate - exterior angles.
c. ∠3 and ∠6: These are consecutive interior angles.
d. ∠9 and ∠14: These are non - related, so the answer is none.
e. ∠4 and ∠7: These are alternate - interior angles.
f. ∠2 and ∠10: These are corresponding angles.
g. ∠8 and ∠14: These are corresponding angles.
h. ∠6 and ∠11: These are non - related, so the answer is none.
i. ∠4 and ∠13: These are non - related, so the answer is none.
j. ∠4 and ∠9: These are consecutive interior angles.

Answer:

a. Corresponding angles
b. Alternate - exterior angles
c. Consecutive interior angles
d. none
e. Alternate - interior angles
f. Corresponding angles
g. Corresponding angles
h. none
i. none
j. Consecutive interior angles