Converse Angle Relationships

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

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

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

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

• 47

• 57

• 133

• 143

Which reason explains why the two lines are parallel?

• Corresponding Angles Converse

• Alt. Interior Angles Converse

• Alt. Exterior Angles Converse

• Not Enough Information to Prove Parallel

• Vertical Angles Theorem

What is the value of x?

• 60

• 26

• 14

• 10

Supply the third reason.

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Postulate

• Same Side Interior Angles Theorem

Vertical angles are always

• acute

• total 180 degrees

• congruent (equal measures)

• adjacent angles

What is the value of x?

• 27

• 72

• 108

• 153

Which angle corresponds to angle 8?

• None of these correspond to angle 8