1. A proof written in paragraph form.
parallel

2. 71° 68 3 34 2
5x - 7 = 98
5x = 105
x = 21

3. parallel
parallel
parallel

4. alternate interior angles
parallel
Yes, you can use the Same Side Interior Angles
Converse to show a∥b.

5. ∠1 ≅ ∠2
x ∥ y
Corresponding Angles
Postulate
∠2 ≅ ∠3
Alternate Exterior Angles
Converse

6. ∠2 ≅ ∠3
∠1 ≅ ∠2
Corresponding Angles
Converse

7. parallel t2 t3
Transitive Property t6 t4

8. The slats can be named s1, s2... s16 top to bottom.
Each slat is parallel to the one below it so s1∥s2, s2∥s3
and so on. Using the transitive property, you can conclude
all the slats from s1 to s16 must be parallel to each other.