anonymous
  • anonymous
An angle measures 12 degrees less than three times its supplement. Find the measure of the angle
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
its an equarion
DDCamp
  • DDCamp
Supplementary angles add up to 180° Let's start with having two angles a and b. a is the angle you're trying to find, and b is the supplementary angle: a + b =180° a = 3b - 12 Can you solve it from here?
anonymous
  • anonymous
will it be equal to each other

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DDCamp
  • DDCamp
No, the two equations aren't equal to each other right now. You could subtract b from both sides in the first equation to give: a = 180 - b Then set the equations equal to each other: 3b-12 = 180-b
anonymous
  • anonymous
i am confused
DDCamp
  • DDCamp
Do you know how to solve systems of equations?
anonymous
  • anonymous
yess
DDCamp
  • DDCamp
The two equations are: a + b =180° a = 3b - 12 How would you start to solve that?
anonymous
  • anonymous
so you will cancel the a
anonymous
  • anonymous
will it be like 2b=168
anonymous
  • anonymous
wont the answer be 84??
DDCamp
  • DDCamp
I would start to solve the system by replacing the a in the first equation with 3b-12 (substitution), giving: 3b - 12 + b = 180 4b - 12 = 180 4b = 192 b = 48

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