Proving Angle Congruence Using Angle Postulates

• Definition of right angle
• Definition of congruence
• Vertical Angles Theorem
• Congruent complements theorem

2. Find X

• 9
• 27
• 45

• Definition of Supplementary
• Congruent Supplements theorem
• Substitution
• Transitive property

Give the reason for statement #3

• Definition of supplementary angles
• Definition of congruence
• Vertical angles theorem
• Congruent supplements theorem 

• Supplement Theorem
• Definition of angle bisector
• Definition of Congruence
• Definition of a right angle

3. Find ∠NOQ

• 31
• 59
• 180
• 149

• Definition of complementary angles
• Complement Theorem
• Definition of right angles
• Substition

Give the reason for statement 1.

• Given
• Angle addition postulate
• Segment Addition Postulate
• Complementary Angles

• Definition of supplementary angles
• Definition of Complementary angles
• Definition of linear pair
• Angle addition postulate

Give the reason for statement #2

• Definition of congruent
• Angle addition postulate
• Complement Theorem
• Supplement Theorem