If BD bisects angle ABC, m angle DBC = 79° , and m angle ABC = (9x - 4)° , find the value of x.

Answer:
x = 18
Step-by-step explanation:
Since BD bisects ∠ ABC , then
∠ ABD = ∠ DBC = 79°
∠ ABC = ∠ ABD + ∠ DBC , that is
9x - 4 = 79 + 79 = 158 ( add 4 to both sides )
9x = 162 ( divide both sides by 9 )
x = 18