two-column proof

[annad95]

Fill in the blanks to complete the two-column proof.
Given: angle 1 and angle 2 are supplementary, m = 135 degrees
Prove: m = 45 degrees
Statements Reasons
1.angle 1 and angle 2 are supplementary. 1. Given
2. 2. Given
3. m angle 1 + m angle 2 = 180 degrees 3.
4. 135 degrees + m angle 2 = 180 degrees 4. Substitution Property
5. 5.

 

[mmm4444bot]

What have you thought about so far, in this exercise?

 

[annad95]

2. m angle 1= 135 degrees
3. supplementary angles
5. m angle 2= 45 degrees 5. acute angle