anonymous
  • anonymous
This is my math problem: I a triangle ABC, angle B is 3 times angle A and angle C is 2degrees less than 6 times angle A. Find the size of the angles. ? Can anyone solve this in equation steps?
Mathematics
katieb
  • katieb
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sandra
  • sandra
right, so this is a problem where you have three variables (the three angles), and so you'll need three equations to solve it
sandra
  • sandra
so let's write down three equations
sandra
  • sandra
1. B = 3A

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sandra
  • sandra
2. C = 6A - 2
sandra
  • sandra
so there's one equation that's true for all triangles
sandra
  • sandra
3. A+B+C = 180 (the sum of all angles in a triangle is always 180 degrees)
sandra
  • sandra
now what you need to do is substitute until you get an equation with all one variable
sandra
  • sandra
how about let's try and get all A's
sandra
  • sandra
so we know B=3A, and C=6A - 2
sandra
  • sandra
so let's substitute both of those into the third equation - A+B+C = 180
sandra
  • sandra
so A + (3A) + (6A-2) = 180
sandra
  • sandra
10A - 2 = 180
sandra
  • sandra
10A = 182
sandra
  • sandra
A = 18.2
sandra
  • sandra
now that you have the value of A, you need to substitute it back into other equations to get B and C
sandra
  • sandra
if you do that, you'll have the answer

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