HeyItsZia1
  • HeyItsZia1
PLEASE HELP WILL FAN AND MEDAL In ΔABC the measure of ∠A is 2x + 3, the measure of ∠B is 4x + 2, and the measure of ∠C is 2x - 1. What are the measures of the angles?
Algebra
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
All angles of a triangle sum up to 180 degrees. Knowing this, you just need to add up all expressions together and set them equal to 180. Then, solve for your x-value.
anonymous
  • anonymous
After that, plug your x-value into each equation to get your corresponding angles. Good luck!
anonymous
  • anonymous
\[2x + 3 + \left( 4x + 2 \right) + \left( 2x - 1 \right) = 180\]\[x = ~?\]

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HeyItsZia1
  • HeyItsZia1
@Cardinal_Carlo I got x = 21.75. Is that correct?
anonymous
  • anonymous
Close. You should've gotten x = 22.
HeyItsZia1
  • HeyItsZia1
@Cardinal_Carlo Can you show me how you got 22?
anonymous
  • anonymous
\[2x+3+(4x+2)+(2x−1)=180\]\[8x + 4 = 180\]\[8x = 180 - 4 = 176\]\[x = \frac{ 176 }{ 8 } = 22\]
anonymous
  • anonymous
Now, you just have to plug this x-value into all three equations above to get angles A-C.
HeyItsZia1
  • HeyItsZia1
@Cardinal_Carlo Thanks, I understand it now. I put the wrong integer in ∠C. :)
anonymous
  • anonymous
Well, you've caught your mistake, and that's awesome.
HeyItsZia1
  • HeyItsZia1
@Cardinal_Carlo Thanks, I got the angle values as ∠A = 47 ∠B = 100 ∠C = 43, but when I added them, I got 190. Did I do something wrong?
anonymous
  • anonymous
Yes, angle B should be 90.
HeyItsZia1
  • HeyItsZia1
@Cardinal_Carlo Oh, sorry. I didn't realize I added wrong. :)
anonymous
  • anonymous
That's okay. At least, you caught yourself.
anonymous
  • anonymous
^_^

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