Question

$BC$ is the angle bisector of $\angle C$ in $△ADC$ and $BC$ is perpendicular bisector of side $AD$.

Find the value of $x$.

• A. $4$
• B. $5$
• C. $6$
• D. none of the above

Answer 1

Answer: (C)

$6$

$BC$ is perpendicular to $AD$ & $BC$ in angle bisector to $AD.$
$\therefore AB=BD$
Since, $AB=BD$

$\Rightarrow$ $5x-3=2x+15$

$3x=18$
$x=6$