Question

2. Determine o valor de x nos triângulos abaixo: ​

Answer 1

$\large\boxed{\begin{array}{l}\underline{\sf Soma\,dos\,\hat angulos\,internos\,de\,um\,tri\hat angulo}\\\rm Em\,todo\,tri\hat angulo\,s\,soma\,dos\,\hat angulos\,internos\\\rm \acute e\,igual\,a\,180^\circ.\end{array}}$

$\large\boxed{\begin{array}{l}\sf a)~\rm Como\,\acute e\,um\,tri\hat angulo\,ret\hat angulo\\\rm a\,soma\,dos\,\hat angulos\,agudos\,vale\,90^\circ.\\\rm 3x+2x=90^\circ\\\rm 5x=90^\circ\\\rm x=\dfrac{90^\circ}{5}\\\\\rm x=18^\circ\end{array}}$

$\large\boxed{\begin{array}{l}\sf b)~\rm trata-se\,de\,um\,tri\hat angulo\,ret\hat angulo\\\rm portanto\\\rm 6x+6^\circ+5x+18^\circ=90^\circ\\\rm 11x+24^\circ=90^\circ\\\rm 11x=90^\circ-24^\circ\\\rm 11x=66^\circ\\\rm x=\dfrac{66^\circ}{11}\\\\\rm x=6^\circ\end{array}}$