Resources for Angle Sum of Triangles and Quadrilaterals
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Questions
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Angle Sum of Triangles and Quadrilaterals Theory
![\begin{multicols}{2} The angle sum of \(a\) triangle is \(180^{\circ}\) \columnbreak \begin{tikzpicture}[scale=1] \coordinate[label=below left:] (B) at (0,0); \coordinate[label=above:] (A) at (61:3); \coordinate[label=below right:] (C) at (0:3); \draw[line width=1pt] (B)--(C)--(A)--cycle; \pic [draw=black,line width=1pt,angle radius=0.5cm,angle eccentricity=1.6,"\(a\)"] {angle=C--B--A}; \pic [draw=black,line width=1pt,angle radius=0.5cm,angle eccentricity=1.6,"\(b\)"] {angle=B--A--C}; \pic [draw=black,line width=1pt,angle radius=0.5cm,angle eccentricity=1.6,"\(c\)"] {angle=A--C--B}; \node[draw=red,align=left] at (4.5,1.5) {\large\(a+b+c=180^{\circ}\)}; \end{tikzpicture} \end{multicols} \begin{multicols}{2} The exterior angle of a triangle is equal to the sum of the two interior opposite angles. \columnbreak \begin{tikzpicture}[scale=1] \coordinate[label=below left:] (B) at (0,0); \coordinate[label=above:] (A) at (61:3); \coordinate[label=below right:] (C) at (0:3); \coordinate[label=below right:] (D) at (left:1); \draw[line width=1pt] (B)--(D); \draw[line width=1pt] (B)--(C)--(A)--cycle; \pic [draw=black,line width=1pt,angle radius=0.4cm,angle eccentricity=1.6,"\(c\)"] {angle=A--B--D}; \pic [draw=black,line width=1pt,angle radius=0.5cm,angle eccentricity=1.6,"\(b\)"] {angle=B--A--C}; \pic [draw=black,line width=1pt,angle radius=0.5cm,angle eccentricity=1.6,"\(a\)"] {angle=A--C--B}; \node[draw=red,align=left] at (4.5,1.5) {\large\(a+b=c\)}; \end{tikzpicture} \end{multicols} \begin{multicols}{2} The angle sum of a quadrilateral is \(360^{\circ}\) \columnbreak \begin{tikzpicture} % Define the vertices \coordinate (A) at (0,0); \coordinate (B) at (4,0); \coordinate (C) at (3,2.2); \coordinate (D) at (0.5,2.7); % Draw the quadrilateral \draw[line width=1pt] (A) -- (B) -- (C) -- (D) -- cycle; % Label the angles \pic [draw=black,line width=1pt,angle radius=0.5cm,angle eccentricity=1.6,"\(a\)"] {angle=B--A--D}; \pic [draw=black,line width=1pt,angle radius=0.5cm,angle eccentricity=1.6,"\(b\)"] {angle=C--B--A}; \pic [draw=black,line width=1pt,angle radius=0.5cm,angle eccentricity=1.6,"\(c\)"] {angle=D--C--B}; \pic [draw=black,line width=1pt,angle radius=0.5cm,angle eccentricity=1.6,"\(d\)"] {angle=A--D--C}; \node[draw=red,align=left] at (6,1.5) {\large\(a+b+c+d=360^{\circ}\)}; \end{tikzpicture} \end{multicols}](/media/c3ibadak/9217.png)