Find the value of x in degrees

$\large{first}^{step}$

$\text{A=55}^{\circ}$

$\text{B=75}^{\circ}$

$\text{180 - (A+B)=C}^{\circ}$

$\text{180 - (55+75)=50}^{\circ}$

$\large{second}^{step}$

$\text{A=55}^{\circ}$

$\text{B=75}^{\circ}$

$\text{C=50}^{\circ}$

$\text{D=X}^{\circ}$

$\text{180 - C=X}^{\circ}$

$\text{180 - 50=130}^{\circ}$

Hence the answer is $\color{#3D99F6}{\boxed{130} }$

By the exterior angle theorem, we have

$x=55^\circ+75^\circ=\boxed{130^\circ}$