Question

25 fill in the blank 4 points
\\(\overrightarrow{bd}\\) bisects \\(\angle abc\\).
find the value of x.
x = type your answer..

Explanation:

Step1: Apply angle - bisector property

Since $\overrightarrow{BD}$ bisects $\angle ABC$, then $\angle ABD=\angle DBC$. So we set up the equation $7x - 4=4x + 11$.

Step2: Solve the equation for $x$

Subtract $4x$ from both sides: $7x-4x - 4=4x-4x + 11$, which simplifies to $3x-4 = 11$.

Step3: Isolate the variable term

Add 4 to both sides: $3x-4 + 4=11 + 4$, getting $3x=15$.

Step4: Solve for $x$

Divide both sides by 3: $\frac{3x}{3}=\frac{15}{3}$, so $x = 5$.

Answer:

$5$