Question

transversal
a line that intersects two or more
examples:
angles formed by transversals
diagram
angle pairs
examples
corresponding angles
alternate interior angles
alternate exterior angles
consecutive interior angles
examples! name the type of angle relationship. if no relationship, write
one.\
important!
angles must belong to
the same transversal to
be an angle pair.

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. Consecutive interior angles are between the two lines and on the same side of the transversal.

Step2: Analyze each pair for first set of lines

a. ∠1 and ∠8 are alternate exterior angles.
b. ∠2 and ∠3 are consecutive interior angles.
c. ∠5 and ∠7 are no relationship (not an angle - pair as per the same - transversal rule).
d. ∠2 and ∠7 are corresponding angles.
e. ∠1 and ∠3 are no relationship.
f. ∠6 and ∠7 are adjacent angles (but not one of the special transversal - related angle pairs).

Step3: Analyze each pair for second set of lines

a. ∠5 and ∠13 are corresponding angles.
b. ∠7 and ∠14 are corresponding angles.
c. ∠3 and ∠6 are consecutive interior angles.
d. ∠9 and ∠16 are alternate exterior angles.
e. ∠4 and ∠7 are no relationship.
f. ∠2 and ∠10 are corresponding angles.
g. ∠8 and ∠14 are alternate exterior angles.
h. ∠6 and ∠11 are no relationship.
i. ∠4 and ∠13 are no relationship.
j. ∠4 and ∠9 are alternate interior angles.

Answer:

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