72
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
In the diagram, the centre of the circle is $O.$ The area of the shaded region is $20\%$ of the area of the circle. What is the value of $x?$ [asy]
filldraw(Circle((0,0),1),gray(0.8),linewidth(1));
filldraw((cos(pi/5),sin(pi/5))--(0,0)--(cos(-pi/5),sin(-pi/5))..(-1,0)..cycle,white,linewidth(1));
label("$O$", (0,0), W);
label("$x^\circ$", (0.1,0), E);
[/asy]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
72
In the diagram, the centre of the circle is $O.$ The area of the shaded region is $20\%$ of the area of the circle. What is the value of $x?$ [asy]
filldraw(Circle((0,0),1),gray(0.8),linewidth(1));
filldraw((cos(pi/5),sin(pi/5))--(0,0)--(cos(-pi/5),sin(-pi/5))..(-1,0)..cycle,white,linewidth(1));
label("$O$", (0,0), W);
label("$x^\circ$", (0.1,0), E);
[/asy]
train