Parallel Lines and Exterior Angles Theorem

What value of x proves that line p is parallel to line r?

• 14

• 12.5

• 15

• 25

Alternate exterior angles are outside of the parallel lines and on opposite sides of the ...

• angle

• measurement

• transversal

• vertex

Which pair of angles must be supplementary so that r is parallel to s?

• ∠2 and ∠3

• ∠5 and ∠6

• ∠4 and ∠10

• ∠6 and ∠14

If ∠5 ≌∠7, which of the following can be concluded?

• r is parallel to s by converse of Alternate Interior Angles Thm.

• u is parallel to v by Converse of Corresponding Angles Thm

• s is ⊥ u by Converse of Alternate Interior Angles Thm

• v ⊥ r by Converse of Alternate Exterior Angles Thm

Find the value of x by using the exterior angle theorem.

• A

• B

• C

• D

What is the reason for Statement 4?

• Substitution

• Converse of Alternate Exterior Angles Theorem

• Converse of Corresponding Angles Postulate

• Converse of Same-side Interior Angles Theorem

Given the following two parallel lines cut by a transversal. Which pair of angles represents alternate exterior angles?

If a // b and c // d in the figure below, then what is the value of x?

• 47

• 57

• 133

• 143

• No

• Yes, Corresponding angles are congruent

• Yes, Alternate Interior angles are congruent

• Yes, Alternate Exterior angles are congruent

Which value of x will show that lines l and m are parallel?

• 20

• 22

• 24

• 25