SOLUTION: Given: angle 2 is congruent to angle 3, angle 1 and 2 are supplementary Prove: angle 1 and angle 3 are supplementary

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Question 1119263: Given: angle 2 is congruent to angle 3, angle 1 and 2 are supplementary
Prove: angle 1 and angle 3 are supplementary
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
angle 2 = angle 3.

if angle 2 is supplementary to angle 1, then angle 2 + angle 1 = 180.

since angle 2 is equal to angle 3, you can replace angle 2 with angle 3 in the equation of angle 2 + angle 1 = 180 to get:

angle 3 + angle 1 = 180.

that makes angle 3 and angle 1 supplementary.