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
.
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,,,,,,substraction and multiplication postulate
.
.
Note: There is a Theorem that " if 2 angles are supplements of equal angles,,,then the two angles are congruent"
.
|
|
|
