# Example: Parallel lines and related angles

Published 2006-11-08 | Author: The TikZ and PGF manual

This example is from the Part III title page of the TikZ and PGF manual.

Author: Till Tantau
Source: The PGF/TikZ manual

Do you have a question regarding this example, TikZ or LaTeX in general? Just ask in the LaTeX Forum.
Oder frag auf Deutsch auf TeXwelt.de. En français: TeXnique.fr.

% Author: Till Tantau
% Source: The PGF/TikZ manual
\documentclass{article}

\usepackage{tikz}
\begin{document}
\pagestyle{empty}
\begin{tikzpicture}
\draw[fill=yellow] (0,0) -- (60:.75cm) arc (60:180:.75cm);
\draw(120:0.4cm) node {$\alpha$};

\draw[fill=green!30] (0,0) -- (right:.75cm) arc (0:60:.75cm);
\draw(30:0.5cm) node {$\beta$};

\begin{scope}[shift={(60:2cm)}]
\draw[fill=green!30] (0,0) -- (180:.75cm) arc (180:240:.75cm);
\draw (30:-0.5cm) node {$\gamma$};

\draw[fill=yellow] (0,0) -- (240:.75cm) arc (240:360:.75cm);
\draw (-60:0.4cm) node {$\delta$};
\end{scope}

\begin{scope}[thick]
\draw (60:-1cm) node[fill=white] {$E$} -- (60:3cm) node[fill=white] {$F$};
\draw[red]                   (-2,0) node[left] {$A$} -- (3,0)
node[right]{$B$};
\draw[blue,shift={(60:2cm)}] (-3,0) node[left] {$C$} -- (2,0)
node[right]{$D$};

\draw[shift={(60:1cm)},xshift=4cm]
node [right,text width=6cm,rounded corners,fill=red!20,inner sep=1ex]
{
When we assume that $\color{red}AB$ and $\color{blue}CD$ are
parallel, i.\,e., ${\color{red}AB} \mathbin{\|} \color{blue}CD$,
then $\alpha = \delta$ and $\beta = \gamma$.
};
\end{scope}
\end{tikzpicture}

\end{document}


• #1 Jessica, February 7, 2009 at 11:04 p.m.

I don't get suplementary and complementary angles and even corressponding angles i have a test tomorrow

• #2 pascal, May 31, 2010 at 5:30 p.m.

Is there a way to have TikZ calculate the angles?