SOLUTION: How do make the reasons and statements to this proof Given: line 1intersects line 2 ; angle 1 and angle 2 are a linear pair ; angle 2 and angle 3 are a linear pair Prove: angle

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Question 802422: How do make the reasons and statements to this proof
Given: line 1intersects line 2 ; angle 1 and angle 2 are a linear pair ; angle 2 and angle 3 are a linear pair
Prove: angle 1 and angle 3 are congruent

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The sum of the measures of 1 and 2 is 180 by defn of linear pair. The sum of 2 and 3 is 180 by defn linear pair. So m1 + m2 = m2 + m3 by reflexive equality and substitution. Add -m2 to both sides: Addition property of equality.
m1 = m3 by algebra. Q.E.D.

John

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