Question

5) Calcule o valor de x na circunferência a seguir:
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Answer 1

$\large\boxed{\begin{array}{l}\sf a)\\\rm^\frown_{\!\!\!{AOB}} =90^\circ+110^\circ=200^\circ\\\rm^\frown_{\!\!{AB}}= 360^\circ-200^\circ=160^\circ\\\rm \measuredangle ~x=\dfrac{160^\circ}{2}\\\\\rm \measuredangle \,x=80^\circ\\\rm nota: o~s\acute imbolo\,~\measuredangle~l\hat e-se~\hat angulo.\end{array}}$

$\large\boxed{\begin{array}{l}\rm^\frown_{\!\!\!{AB}}=\measuredangle A\hat OB\\\rm 2x+5^\circ=45^\circ\\\rm 2x=45^\circ+5^\circ\\\rm 2x=50^\circ\\\rm x=\dfrac{50^\circ}{2}\\\\\rm x=25^\circ\end{array}}$