Ángulos suplementarios

Dos ángulos son suplementarios cuando la suma de ambos son 180º.

Para hallar el ángulo suplementario de otro  es necesario restar a 180º el ángulo dado.

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Aquí os dejo unos ejercicios:

\(\bullet\) Hallar el ángulo complementario de \(32^{\circ}\ 58'\ 41''\)

\[\begin{array}{rrr} 180^{\circ} & \color{white}{0} & \color{white}{0} \\ -32^{\circ} & 58' & 41'' \\ \hline \\ \color{white}{0} & & \color{white}{0}\end{array}\rightarrow\begin{array}{rrr} 179^{\circ} & 60' & \color{white}{0} \\ -32^{\circ} & 58' & 41'' \\ \hline \\ \color{white}{0} & \color{white}{0} & \color{white}{0}\end{array}\rightarrow\begin{array}{rrr} 179^{\circ} & 59' & 60'' \\ -32^{\circ} & 58' & 41'' \\ \hline \\ 147^{\circ} & 1' & 19''\end{array}\]

\(\bullet\) Hallar el ángulo complementario de \(122^{\circ}\ 11'\ 41''\)

\[\begin{array}{rrr} 180^{\circ} & \color{white}{0} & \color{white}{0} \\ -122^{\circ} & 11' & 41'' \\ \hline \\ \color{white}{0} & & \color{white}{0}\end{array}\rightarrow\begin{array}{rrr} 179^{\circ} & 60' & \color{white}{0} \\ -122^{\circ} & 11' & 41'' \\ \hline \\ \color{white}{0} & \color{white}{0} & \color{white}{0}\end{array}\rightarrow\begin{array}{rrr} 179^{\circ} & 59' & 60'' \\ -122^{\circ} & 11' & 41'' \\ \hline \\ 57^{\circ} & 48' & 19''\end{array}\]

\(\bullet\) Hallar el ángulo complementario de \(43^{\circ}\ 10'\ 29''\)

\[\begin{array}{rrr} 180^{\circ} & \color{white}{0} & \color{white}{0} \\ -43^{\circ} & 10' & 29'' \\ \hline \\ \color{white}{0} & & \color{white}{0}\end{array}\rightarrow\begin{array}{rrr} 179^{\circ} & 60' & \color{white}{0} \\ -43^{\circ} & 10' & 29'' \\ \hline \\ \color{white}{0} & \color{white}{0} & \color{white}{0}\end{array}\rightarrow\begin{array}{rrr} 179^{\circ} & 59' & 60'' \\ -43^{\circ} & 10' & 29'' \\ \hline \\ 136^{\circ} & 49' & 31''\end{array}\]

\(\bullet\) Hallar el ángulo complementario de \(5^{\circ}\ 17''\)

\[\begin{array}{rrr} 180^{\circ} & \color{white}{0} & \color{white}{0} \\ -5^{\circ} & \color{white}{0} & 17'' \\ \hline \\ \color{white}{0} & & \color{white}{0}\end{array}\rightarrow\begin{array}{rrr} 179^{\circ} & 60' & \color{white}{0} \\ -5^{\circ} & \color{white}{0} & 17'' \\ \hline \\ \color{white}{0} & \color{white}{0} & \color{white}{0}\end{array}\rightarrow\begin{array}{rrr} 179^{\circ} & 59' & 60'' \\ -5^{\circ} & \color{white}{0} & 17'' \\ \hline \\ 174^{\circ} & 59' & 43''\end{array}\]

Si tenéis alguna duda sobre los ejercicios, dejadme un post. Gracias