Question

Please help. I need it soon. It would be appreciated :)

(a) Using line e as the transversal, name one pair of alternate interior angles that are congruent and one pair of alternate interior angles that are not congruent. Identify the pair of lines used to create the alternate interior angles for each set.

(b) Using line b as the transversal, name one pair of alternate exterior angles that are congruent and one pair of alternate exterior angles that are not congruent. Identify the pair of lines used to create the alternate exterior angles for each set.

(c) Using line f as the transversal, name one pair of corresponding angles that are congruent and one pair of corresponding angles that are not congruent. Identify the pair of lines used to create the corresponding angles for each set.

Answer 1

they are right the answer above

Explanation:

Answer 2

Part a)

1) m<9 and m<28 is a pair of alternate interior angles that are congruent

2) m<9 and m<16 is a pair of alternate interior angles that are not congruent

Part b)

1) m<13 and m<22 is a pair of alternate exterior angles that are congruent

2) m<13 and m<24 is a pair of alternate exterior angles that are not congruent

Part c)

1) m<6 and m<30 is a pair of corresponding angles that are congruent

2) m<6 and m<18 is a pair of corresponding angles that are not congruent

Explanation:

Part a) Using line e as the transversal, name one pair of alternate interior angles that are congruent and one pair of alternate interior angles that are not congruent

1) Using parallel lines a and c and transversal line e

`m<9=m<28`

so

m<9 and m<28 is a pair of alternate interior angles that are congruent

2) Using lines a and b and transversal line e

`m<9 \\eq m<16`

so

m<9 and m<16 is a pair of alternate interior angles that are not congruent

Part b) Using line b as the transversal, name one pair of alternate exterior angles that are congruent and one pair of alternate exterior angles that are not congruent

1) Using parallel lines d and e and transversal line b

`m<13=m<22`

so

m<13 and m<22 is a pair of alternate exterior angles that are congruent

2) Using lines d and f and transversal line b

`m<13 \\eq m<24`

so

m<13 and m<24 is a pair of alternate exterior angles that are not congruent

Part c) Using line f as the transversal, name one pair of corresponding angles that are congruent and one pair of corresponding angles that are not congruent

1) Using parallel lines a and c and transversal line f

`m<6=m<30`

so

m<6 and m<30 is a pair of corresponding angles that are congruent

2) Using lines a and b and transversal line f

`m<6 \\eq m<18`

so

m<6 and m<18 is a pair of corresponding angles that are not congruent