Question

lines ab and bc intersect at point b. ray bd bisects angle abc. what is the value of x? 10 18 24 36 48

Explanation:

Step1: Set up equation

Since BD bisects ∠ABC, we have $4x - 24=2(x + 6)$.

Step2: Expand right - hand side

$4x - 24 = 2x+12$.

Step3: Move terms with x to one side

$4x - 2x=12 + 24$.

Step4: Simplify

$2x=36$.

Step5: Solve for x

$x = 18$.

Answer:

18