SOLUTION: Please help me with this proof Given: <1 and<2 are supplementary, and <3 and<4 are supplementary <2 is congruent to <3 Prove: <1 is congruent to <4 There are seven steps to t

Algebra ->  Geometry-proofs -> SOLUTION: Please help me with this proof Given: <1 and<2 are supplementary, and <3 and<4 are supplementary <2 is congruent to <3 Prove: <1 is congruent to <4 There are seven steps to t      Log On


   

Question 652950: Please help me with this proof
Given: <1 and<2 are supplementary, and <3 and<4 are supplementary
<2 is congruent to <3
Prove: <1 is congruent to <4
There are seven steps to this problem !
Answer by solver91311(24713) About Me  (Show Source):
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The sum of the measures of 1 and 2 is 180 by definition of supplementary

The sum of the measures of 3 and 4 is 180 by definition of supplementary

The measure of 2 equals the measure of 3 by definition of congruence

The sum of 1 and 3 is 180 by substitution equality

1 plus 3 equals 3 plus 4 by transitive equality

1 equals 4 by subtraction equality

1 congruent to 4 by definition of congruence

John

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