How to Draw Alternate Angles between Parallel Lines in Tikz LaTeX

How to Draw Alternate Angles between Parallel Lines in Tikz LaTeX | Tikz Example

How to Draw Alternate Angles between Parallel Lines in Tikz \(\LaTeX\)

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Each pair of alternate angles around the transversal are equal to each other. The two angles can either be alternate interior angles or alternate exterior angles.
So, to draw attractive and eye catching illustration of alternate angles between the parallel lines, you can use Tikz and Pgfplots within\(\LaTeX\).

Code in Tikz and Pgfplots \(\LaTeX\)


  \documentclass[border=10pt]{article}

  \usepackage[margin=1in]{geometry}

  \usepackage[most]{tcolorbox}

  \usepackage{multicol}

  \usepackage{tikz}\usepackage{tkz-euclide}

  \mathversion{bold}

  \usetikzlibrary{calc,intersections,through,backgrounds}

  \usepackage{xcolor}

  \makeatletter

  \usepgflibrary{shapes.symbols} % LATEX and plain TEX and pure pgf

  \usepgflibrary[shapes.symbols] % ConTEXt and pure pgf

  \usetikzlibrary{shapes.symbols} % LATEX and plain TEX when using TikZ

  \usetikzlibrary[shapes.symbols] % ConTEXt w

  \begin{document}

  \begin{center}

  \begin{tikzpicture}[scale=3]

  \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 {$\beta$};

  \draw[fill=yellow] (0,0) -- (240:.75cm) arc (240:360:.75cm);

  \draw (-60:0.4cm) node {$\alpha$};

  \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]

  \end{scope}

  \end{tikzpicture}

  \end{center}

  \end{document}

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How to Draw Alternate Angles between Parallel Lines in Tikz LaTeX | Tikz Example