tavorish56
tavorish56 tavorish56
  • 07-05-2020
  • Mathematics
contestada

If mZABF = (7x + 20)". mZFBC = (2x - 5) ".
and mZABC = 159º. find the value of x.

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 07-05-2020

Answer:

  x = 16

Step-by-step explanation:

We assume that ray BF lies between BA and BC, so that ...

  ∠ABF +∠FBC = ∠ABC

  (7x +20) +(2x -5) = 159

  9x +15 = 159 . . . .collect terms

  9x = 144 . . . . . . . subtract 15

  x = 16 . . . . . . . . . .divide by 9

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