Answer:
1. a. If ∠ 8 is supplementary to ∠ 9, then line x and line y are parallel lines whereas line s is the transverse line.
b. ∠ 7 = ∠ 4, gives line x and line y are parallel and line s is the transverse line.
c. ∠ 9 is supplementary to ∠ 12, then line s and line t are parallel and line y is the transverse line.
d. ∠ 9 = ∠ 11 {Alternate angles}
That means line s and line t are parallel and line y is the transverse line.
Step-by-step explanation:
1. a. If ∠ 8 is supplementary to ∠ 9, then line x and line y are parallel lines whereas line s is the transverse line.
b. ∠ 7 = ∠ 4.
Now, ∠ 7 = ∠ 2 and ∠ 4 = ∠ 9.
So, ∠ 2 = ∠ 9 {Alternate angles}
Hence, line x and line y are parallel and line s is the transverse line.
c. ∠ 9 is supplementary to ∠ 12, then line s and line t are parallel and line y is the transverse line.
d. ∠ 9 = ∠ 11 {Alternate angles}
That means line s and line t are parallel and line y is the transverse line.
