SOLUTION: angle 1 and angle 2 are supplements andle 3 and angle 4 are supplements and 1 is congruent with angle 4

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Question 915784: angle 1 and angle 2 are supplements
andle 3 and angle 4 are supplements
and 1 is congruent with angle 4
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
proof:

1. <1 +<2 = 180=>given supplementary
2. <3 +<4 = 180=>given supplementary
3. <2 = 180- <1=>subst postulate
4. <3 = 180- <4=>subst postulate
5 <2+= <3=>given
6 180-<1+= 180-<4=>substitution
7 <1 = <4=>subtraction and multiplication postulate
.
Note: There is a Theorem that " if 2 angles are supplements of equal angles, then the two angles are++congruent"