anonymous
  • anonymous
FAN AND MEDAL The angles shown below are supplementary:
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
anonymous
  • anonymous
What is the value of x? 10° 11° 20° 22°
anonymous
  • anonymous
@aloud @GreatGuy

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TheSmartOne
  • TheSmartOne
What does supplementary mean?
anonymous
  • anonymous
Two Angles are Supplementary if they add up to 180 degrees.
anonymous
  • anonymous
@TheSmartOne
TheSmartOne
  • TheSmartOne
Ok, so what does that mean about our 2 angles-- 10x and 80 -- in the picture?
anonymous
  • anonymous
idk that's why i am asking for help
TheSmartOne
  • TheSmartOne
Can you set those 2 angles to add up to 180? Since they are supplementary, that way you can solve for x...
anonymous
  • anonymous
Well if they're supplementary angles, and supplementary angles are angles that add up 180 degrees, I would think that adding those two angles would get you 180.
anonymous
  • anonymous
yes...
TheSmartOne
  • TheSmartOne
So we get \(\sf 10x + 80 = 180\)
anonymous
  • anonymous
So \[\large angle_{1}+angle_{2}=180\] Does that seem like a good representation of supplementary angles?
TheSmartOne
  • TheSmartOne
First, we will need to isolate the x. So what do we do about the '80' ? Do we add it or subtract it?
anonymous
  • anonymous
idk
TheSmartOne
  • TheSmartOne
well you are adding it on the left hand side. What is the opposite of addition?

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