anonymous
  • anonymous
SQ bisects angle RST mQST= 2x+18 and mRST= 6x-2 what is angle RSQ please explain when u give answer
Geometry
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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jim_thompson5910
  • jim_thompson5910
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jim_thompson5910
  • jim_thompson5910
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jim_thompson5910
  • jim_thompson5910
`SQ bisects angle RST` which means we have 2 equal pieces angle RSQ = angle QST

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jim_thompson5910
  • jim_thompson5910
also (angle RSQ) + (angle QST) = angle RST (angle QST) + (angle QST) = angle RST 2*(angle QST) = angle RST
jim_thompson5910
  • jim_thompson5910
let me know if this helps or not
anonymous
  • anonymous
thank you i know that but i just forgot the equation like either add them or subtract
jim_thompson5910
  • jim_thompson5910
since 2*(angle QST) = angle RST, we can make substitutions to get 2*(2x+18) = 6x-2 solve for x and use this value of x to find angle QST. Knowing QST means you know RSQ
anonymous
  • anonymous
where did u get 2* i thought it was only 6x-2=2x+18 do u add the xs together or subtract 2x from 6x?
jim_thompson5910
  • jim_thompson5910
do you agree that `(angle RSQ) + (angle QST) = angle RST` ?
anonymous
  • anonymous
yes
jim_thompson5910
  • jim_thompson5910
what I did was replace `(angle RSQ)` with `(angle QST)`
jim_thompson5910
  • jim_thompson5910
since the two angles are equal, that's valid
jim_thompson5910
  • jim_thompson5910
that gives `(angle QST) + (angle QST) = angle RST` on the left side are two copies of "QST", so that's where the "2*" comes from
jim_thompson5910
  • jim_thompson5910
that's how I got 2*(angle QST) = angle RST

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