Question

ray bd bisects ∠abc so that m∠dbc=(x + 7)° and m∠abd=(2x - 11)°. what is x?
a 6
b 18
c 25
d 54

Explanation:

Step1: Set up the equation

Since a ray bisects an angle, the two resulting angles are equal. So we set $x + 7=2x - 11$.

Step2: Isolate the variable terms

Subtract $x$ from both sides: $x+7 - x=2x - 11 - x$, which simplifies to $7=x - 11$.

Step3: Solve for $x$

Add 11 to both sides: $7 + 11=x-11 + 11$, so $x = 18$.

Answer:

B. 18