Question

Use the photo below:

Answer 1

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.