Q:

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.

Accepted Solution

A:
Answer:Part a) 1) m<9 and m<28 is a pair of alternate interior angles that are congruent2) m<9 and m<16 is a pair of alternate interior angles that are not congruentPart b) 1) m<13 and m<22 is a pair of alternate exterior angles that are congruent2) m<13 and m<24 is a pair of alternate exterior angles that are not congruentPart c) 1) m<6 and m<30 is a pair of corresponding angles that are congruent2) m<6 and m<18 is a pair of corresponding angles that are not congruentStep-by-step 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 congruent1) Using parallel lines a and c and transversal line e[tex]m<9=m<28[/tex] som<9 and m<28 is a pair of alternate interior angles that are congruent2) Using  lines a and b and transversal line e[tex]m<9 \neq m<16[/tex]som<9 and m<16 is a pair of alternate interior angles that are not congruentPart 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 congruent1) Using parallel lines d and e and transversal line b[tex]m<13=m<22[/tex] som<13 and m<22 is a pair of alternate exterior angles that are congruent2) Using  lines d and f and transversal line b[tex]m<13 \neq m<24[/tex]som<13 and m<24 is a pair of alternate exterior angles that are not congruentPart 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 congruent1) Using parallel lines a and c and transversal line f[tex]m<6=m<30[/tex] som<6 and m<30 is a pair of corresponding angles that are congruent2) Using  lines a and b and transversal line f[tex]m<6 \neq m<18[/tex]som<6 and m<18 is a pair of corresponding angles that are not congruent