Given: g h

Prove: 1 and 2 are supplementary

Proof:

Statements Reasons
1. g h 1. Given
2. 1 3 2.
3. m1 = m3 3. Definition of congruent angles
4. 2 and 3 are
supplementary 4. Linear pair postulate
5. m3 + m2 = 180° 5. Definition of supplementary
angles
6. m1 + m2 = 180° 6. Substitution property of
equality
7. 1 and 2 are
supplementary 7. Definition of supplementary
angles

Question

Given:		g  h
 		
Prove:		1 and 2 are supplementary
 		
Proof:		

Statements	Reasons
1. g  h	1. Given
2. 1  3	2.
3. m1 = m3	3. Definition of congruent angles
4. 2 and 3 are
    supplementary	4. Linear pair postulate
5. m3 + m2 = 180°	5. Definition of supplementary
    angles
6. m1 + m2 = 180°	6. Substitution property of
    equality
7. 1 and 2 are
    supplementary	7. Definition of supplementary
    angles

anonymous · Answer

Which of the following reasons completes the proof? 

A. Alternate interior angles theorem
B. Definition of linear pair
C. Alternate exterior angles theorem
D. Definition of congruent angles

anonymous · Answer

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