Question

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

Answer 1

x = 16

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