Interior and Exterior Angles Theorem

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

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

• 14

• 12.5

• 15

• 25

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

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

• A

• B

• C

• D

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

• 47

• 57

• 133

• 143

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

• 20

• 22

• 24

• 25

What is the value of x?

• 60

• 26

• 14

• 10

• congruent, because vertical angles are congruent.

• supplementary, by the alternate exterior angle theorem.

• congruent, by the alternate exterior angle theorem.

• supplementary, by the corresponding angle postulate.

• congruent, by the corresponding angle postulate.

• supplementary, because linear pairs are supplementary.

• congruent, by the alternate exterior angle theorem.

• supplementary, by the consecutive interior angle theorem.

Solve for x & list how you found it

• 32... Same Side Interior = 180

• 32... Alternate Interiors = 180

• 32... Corresponding angles are congruent

• -20... Alternate Interiors are equal

• -20... Same Side Interiors are =