SOLUTION: < S = (3x + 162) <N = (73 + 2x) If <N is the supplement of <S, what are the measures of the two angles ? My notes : supplementary angles add up to 180 (3x + 162) + (

Algebra ->  Angles -> SOLUTION: < S = (3x + 162) <N = (73 + 2x) If <N is the supplement of <S, what are the measures of the two angles ? My notes : supplementary angles add up to 180 (3x + 162) + (      Log On


   

Question 1043802: < S = (3x + 162)
If My notes :
supplementary angles add up to 180
(3x + 162) + (73 + 2x) = 180
5x + 235 = 180
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

< S+=+%283x+%2B+162%29
< N+=+%2873+%2B+2x%29
%283x+%2B+162%29+%2B+%2873+%2B+2x%29+=+180
5x+%2B+235+=+180
5x+=+180-+235+
5x+=-55+
x+=-55%2F5+
highlight%28x+=-11%29+
now find each angle
< S+=+3x+%2B+162
< S+=+3%28-11%29+%2B+162
< S+=+-33+%2B+162
< highlight%28S+=+129%29

< N+=+73+%2B+2x
< N+=+73+%2B+2%28-11%29
< N+=+73++-22
< highlight%28N+=+51%29
check if < highlight%28S+=+129%29 and < highlight%28N+=+51%29 are supplementary:
highlight%28+129%2B51=180%29 which is true

Answer by ikleyn(52790) About Me  (Show Source):