Proofs Using Angle Relationships

Vertical angles are always

• acute

• total 180 degrees

• congruent (equal measures)

• adjacent angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Same-side Interior Angles

• Corresponding Angles

• None of these

If m∠1 = 30°, then m∠3 = 

• 30°

• 60°

• 150°

• undetermined

Identify the angle relationship.

• Alternate Exterior Angles

• Alternate Interior Angles

• Same Side Interior Angles

• Corresponding Angles

• true

• Same Side Interior Angle are supplementary

• Corresponding Angle Pairs are congruent

• false

• Alternate Interior Angles are congrunent

• Vertical Angles are congrunet

• Linear Pair are supplementary

What is the reason for Statement 2?

• Vertical Angles Theorem

• Corresponding Angles Theorem

• Alternate Exterior Angles Theorem

• Converse of Corresponding Angles Theorem

• true

• Same Side Interior Angle are supplementary

• Corresponding Angle Pairs are congruent

• false

• Alternate Interior Angles are congrunent

• Vertical Angles are congrunet

• Linear Pair are supplementary

Which of the following statements about the relationship between angle 4 and 3 is NOT TRUE

• They are supplementary

• They are on the same side of the transversal
  

• They are between the parallel lines

• They are same-side exterior angles

• None, all of these statements are true

Which of the following statements about angle 4 is NOT TRUE

• It corresponds with angle 2

• It is on the same side of the transversal as angle 3

• It is supplementary to angle 7

• It has the same  measure as angle 8

• None of these statements are false

What is the value of x?

• 27

• 72

• 108

• 153