anonymous
  • anonymous
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 20 degrees more than that of the smallest angle. Find the measure of the LARGEST angle. Answer: The LARGEST angle has a measure of
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Well the angles in a triangle add up to 180 degrees total, for starters.
anonymous
  • anonymous
Yeah so what would the formula to solve it look like? would it be x+x+20=180 ?
YoloShroom
  • YoloShroom
Not quite

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YoloShroom
  • YoloShroom
alright so, the equation is 3x+20+x=180 , do you know why?
anonymous
  • anonymous
Because the one angle is 3 times the other?
YoloShroom
  • YoloShroom
yes, and one also 20 more than the smallest.
anonymous
  • anonymous
so x=4
anonymous
  • anonymous
I mean 40
YoloShroom
  • YoloShroom
Wait, i may have messed up , let me check again
YoloShroom
  • YoloShroom
Actually i think i may be right XD, sorry it's a bit late
anonymous
  • anonymous
so is the largest angle 60
inkyvoyd
  • inkyvoyd
no
YoloShroom
  • YoloShroom
no no, the largest would be 3x wouldnt it? so it'd be 3(40) so 120, whereas the whole equation would be 120+40+20 = 180 right?
inkyvoyd
  • inkyvoyd
it can't be 60. think about it: with an equilateral triangle, each angle is 60 degrees. any other triangle will have angles larger than 60.
anonymous
  • anonymous
Okay I think I get it now
Directrix
  • Directrix
Does anyone think this is correct? Work courtesy of @Ms_Worth Let the smallest angle = x Then the third angle is ( x + 20 ) The second angle is 3x Together they add up to 180 x + 3x + ( x + 20 ) = 180 5x + 20 = 180 5x = 160 x = 32 <-- x was already defined as the smallest angle The other angles are ( x + 20 ) = 32 + 20 = 52 3x = 3 ( 32 ) = 96 <-- largest angle Answer: the largest angle is 96 degrees CHECK 32 + 52 + 96 = 180

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