In $\Delta ABC,BC$ is produced to $D$. $\angle A=x+{30}^o,\angle B=2x+{25}^o$ and $\angle ACD=5x-5^o$. Find $x$ and $\angle B$

The correct option is C $x=30,\angle B=85$

$A+B+C=180\Rightarrow C=180-(x+30+2x+25)=125-3x$

$\Rightarrow C=125-3x$...(1)

$C+D=180\Rightarrow C=180-(5x-5)=185-5x$

$\Rightarrow C=185-5x$...(2)

From (1) and (2)

$125-3x=185-5x$

$60=2x$

$x={30}^{\circ }$

$B=2x+25=2\left(30\right)+25=60+25$

$B={85}^{\circ }$