B is between A and C. AB=2x+1, BC=3x-4, and AC=62. Find the value of 'x', and determine if B is a bisector.

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jenmcleod68 jenmcleod68

14-09-2015
Mathematics

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B is between A and C. AB=2x+1, BC=3x-4, and AC=62. Find the value of 'x', and determine if B is a bisector.

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Panoyin Panoyin · Answer 1 · 2015-09-14T01:53:56+02:00

∠AB = (2x + 1)°
∠BC = (3x - 4)°
∠AC = 62°

      ∠AB + ∠BC = ∠AC
(2x + 1)° + (3x - 4)° = 62°
   (2x + 1) + (3x - 4) = 62
      2x + 3x + 1 - 4 = 62
      5x - 3 = 62
      + 3   + 3
   5x = 65
      5     5
       x = 13°

Line B is a bisector between ∠AC.