{\begin{tikzpicture}[decoration={
    markings,
    mark=at position 0.5 with {\arrow{<}}}
    ] 

\tikzstyle{every path}=[draw] 
		\path
    node[
      regular polygon,
      regular polygon sides=10,
      draw=none,
      inner sep=2cm,
    ] (T) {}
    %
    % Annotations
    (T.corner 6) node[below] {$1$}
    (T.corner 7) node[below] {$2$} 
    (T.corner 8) node[right] {$4$}
    (T.corner 9) node[right] {$6$}
    (T.corner 10) node[right] {$n-2$} 
    (T.corner 1) node[above] {$n$} 
    (T.corner 2) node[above] {$n-1$} 
    (T.corner 3) node[left] {$7$}
    (T.corner 4) node[left] {$5$}
    (T.corner 5) node[left] {$3$}
;
\foreach \i [evaluate=\i as \j using int(\i+5)]in {1,...,5}{\coordinate (\i) at (T.corner \j);}
\foreach \i[evaluate=\i as \j using int(\i-5)] in {6,...,10}{\coordinate (\i) at (T.corner \j);}

\draw[-] (4) to (3) to (2) to (1) to (10) to (9) to (8) ;
\draw[dashed] (8) to (7);
\draw[-] (7) to (6) to (5);
\draw[dashed] (5) to (4);

\draw [postaction={decorate}] (2) to node[xshift=0.3em,yshift=-0.8em] {$\small \theta_1$} (10) ;
\draw [postaction={decorate}] (10) to node[xshift=-0.3em,yshift=-0.9em] {$\small \theta_2$} (3);
\draw [postaction={decorate}] (3) to node[xshift=-1em,yshift=-0.8em] {$\small \theta_3$} (9);
\draw [postaction={decorate}] (9) to node[xshift=1.2em,yshift=-1em] {$\small \theta_4$} (4);
\draw [postaction={decorate}] (4) to node[xshift=-1.5em,yshift=-0.6em] {$\small \theta_5$} (8);
\draw[dashed] (8) to (5);
\draw[postaction={decorate}] (5) to node[xshift=-0.2em,yshift=0.7em] {$\small \theta_{n-2}$} (7);





\foreach \x in {1,2,...,10}{
\draw (\x) node [fill,circle,scale=0.2] {};}

\end{tikzpicture}

}

