Angles Proofs

Find the value of x.

• x=10

• x=25

• x=15

• x=60

Which property justifies the next step?

• Segment addition postulate

• Definition of an angle bisector

• Angle addition postulate

• Definition of right angles

• definition of congruent

• definition of midpoint

• when parallel lines are crossed by a transversal, alternate interior angles are congruent

• vertical angles are congruent

• when parallel lines are crossed by a transversal, alternate interior angles are congruent

• vertical angles are congruent

• definition of midpoint

• Reflexive Property

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

Match the following

• m,<2 = m<4

• 4

• Angle Addition Postulate

• 1

• m<3 + m<4 = m<DEF

• 3

• m,<1 = m<3

• 6

• m<ABC = m<DEF

• 2

• 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

Warm up: Name the alternate interior angle to angle 3.

• 4

• 5

• 6

• 8

What is the relationship and measure of angle 1?

• corresponding, 56

• alternate exterior, 124

• alternate exterior, 56

• alternate interior, 56