Question

encontre a medida dos ângulos desconhecidos: ​

Answer 1

$\large\boxed{\begin{array}{l}\underline{\rm A\,soma\,dos\,\hat angulos\,internos}\\\underline{\rm de\,um\,tri\hat angulo\,\acute e\,180^\circ}\\\rm a)~\sf x+\backslash\!\!\!5^\circ+ x-\backslash\!\!\!5^\circ+x=180^\circ\\\sf 3x=180^\circ\\\sf x=\dfrac{180^\circ}{3}\\\\\sf x=60^\circ\\\rm b)~\sf x+3x+18^\circ=180^\circ\\\sf 4x=180^\circ-18^\circ\\\sf 4x=162^\circ\\\\\sf x=\dfrac{162^\circ}{4}\end{array}}$

$\large\boxed{\begin{array}{l}\sf \,\,\,\,162^\circ\,\,\,\,\,\,|\underline{4~~~~~~}\\\sf\!-\underline{160^\circ~~~~}~40^\circ\,30'\\\sf2^\circ=120'\\\sf~~~~\underline{-120'}\\~~~~~~~~\boxed{\sf 0}\\\\\sf x=40^\circ\,30'\end{array}}$