Question

In the diagram below, BC−→− bisects ∠FBE
If m∠ABF=(7x+20)°, m∠FBC=(2x−5)° and m∠ABC=159°, find the value of x.

Answer 1

Answer: X=16

Step-by-step explanation:

m<ABF + m<FBC = m<ABC

7x + 20 + 2x - 5=159     by substitution

9x + 15=159     by combining like terms

9x=144      by subtracting 15 from 159

x=16               by division