SOLUTION: It states that: A and B are supplemtry. A= 3x B=x+8 Find A and B. When I do this I only get one answer, i don't get it. How do you solve this?

Algebra ->  Angles -> SOLUTION: It states that: A and B are supplemtry. A= 3x B=x+8 Find A and B. When I do this I only get one answer, i don't get it. How do you solve this?      Log On


   

Question 159346This question is from textbook Geometry
: It states that:
A and B are supplemtry.
A= 3x
B=x+8
Find A and B.
When I do this I only get one answer, i don't get it. How do you solve this? This question is from textbook Geometry

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

It follows being supplementary angles:
A%2BB=180, working eqn
substitute A=3x and B=x%2B8 to the eqn:
3x%2Bx%2B8=180
4x=180-8=172
cross%284%29x%2Fcross%284%29=cross%28172%2943%2Fcross%284%29
x=43deg
For A=3%2A43=129degress
B=43%2B8=51degress
Check, go back working eqn,
129%2B51=180
180=180
Thank you,
Jojo