I have the following drawn with TikZ
using the code
\documentclass{article}
\usepackage{tikz}
\usepackage{tkz-euclide}
\usetkzobj{all}
\begin{document}
\begin{tikzpicture}
\coordinate (O) at (0,0);
\draw (O) circle (3);
\coordinate[label = above left:$M$] (M) at (130:3);
\coordinate[label = above:$N$] (N) at (80:3);
\coordinate[label = below:$A$] (A) at (240:3);
\coordinate[label =below right:$B$] (B) at (300:3);
\draw (A) -- (M) -- (B);
\draw (A) -- (N) -- (B);
\tkzMarkAngle[draw = black, fill = white, opacity=1](A,M,B)
\tkzLabelAngle[pos = 0.8](A,M,B){$x$}
\tkzMarkAngle[pos = 0.2,draw = black, fill = white, opacity=1](A,N,B)
\tkzLabelAngle [pos=0.8](A,N,B){$27 ^{\circ}$}
\end{tikzpicture}
\end{document}
Notice however, tht the 27 degrees does not fit in very nicely. How can I adapt the code to try and move the 27 a bit "lower" so that it fits in better, as well as the angle mark?
Also, how can I get two "double arrows" in the middle of lines AM and BN, to indicate that they are 'parallel'?