SOLUTION: Given: <1 and <2 are supplementary; <3 and <4 are supplementary; <2 = <4; Prove: <1 = <3

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Question 501441: Given: <1 and <2 are supplementary; <3 and <4 are supplementary; <2 = <4;
Prove: <1 = <3
Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
Supplementary angles add to 180 degrees. Definition of supplementary angles.
Angles 1 + 2 = 180 degrees. Given
Angles 3 + 4 = 180 degrees. Given
Angles 1 + 2 = angles 3 + 4. Substitution.
Angle 2 = angle 4. Given.
Angles 1 + 4 = angles 3 + 4. Substitution.
Angle 1 = angle 3. Subtraction of same value from each side of the equation.
Cleomenius.