SOLUTION: Given: angle 1 and angle 2 are supplementary, and angle 3 and angle 4 are supplementary, angle 2 and angle 3 are congruent. Prove: angle 1 and angle 4 are congruent. HELP! i'm

Question 211409: Given: angle 1 and angle 2 are supplementary, and angle 3 and angle 4 are supplementary, angle 2 and angle 3 are congruent.
Prove: angle 1 and angle 4 are congruent.
HELP! i'm not sure of the two collum proofs and the Thereoms to go with it.
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
1.,,, <1 +<2 = 180,,,,,given supplementary
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2.,,, <3 +<4 = 180,,,,,given supplementary
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3.,,, <2 = 180- <1,,,,,subst postulate
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4.,,, <3 = 180- <4,,,,,subst postulate
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5,,,<2 = <3,,,,,,,,,,,,,,given
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6,,,180-<1 = 180-<4,,,,,,substitution
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7,,,<1 = <4,,,,,,substraction and multiplication postulate
.
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Note: There is a Theorem that " if 2 angles are supplements of equal angles,,,then the two angles are congruent"
.

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