7.1 )312.755 what is the answer
2 answers:
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Answer:
<u>Part a) </u>
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
<u>Part b) </u>
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
<u>Part c) </u>
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
Step-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 congruent
1) <u>Using parallel lines a and c and transversal line e</u>
so
m<9 and m<28 is a pair of alternate interior angles that are congruent
2) <u>Using lines a and b and transversal line e</u>
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) <u>Using parallel lines d and e and transversal line b</u>
so
m<13 and m<22 is a pair of alternate exterior angles that are congruent
2) <u>Using lines d and f and transversal line b</u>
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) <u>Using parallel lines a and c and transversal line f</u>
so
m<6 and m<30 is a pair of corresponding angles that are congruent
2) <u>Using lines a and b and transversal line f</u>
so
m<6 and m<18 is a pair of corresponding angles that are not congruent