Question

encontre a medida X em cada figura considerando O o centro desta circunferência.

me expliquem como resolver tbm,por favor​

Answer 1

$\large\boxed{\begin{array}{l}\rm a)~perceba~que~o~arco~AC\\\rm mede~o~dobro~do~\hat angulo~inscrito.\\\rm^\frown_{\!\!\!{AC}}=2\cdot 25^\circ=50^\circ\\\rm\\\rm ^\frown_{\!\!\!{AB}}+~~^\frown_{\!\!\!{AC}}=180^\circ\\\rm^\frown_{\!\!\!{A B}}+50^\circ=180^\circ\\\rm^\frown_{\!\!\!{AB}}=180^\circ-50^\circ\\\rm^\frown_{\!\!\!{A B}}=130^\circ\\\rm como~x=~~^\frown_{\!\!\!{AB}}~ent\tilde ao ~x=130^\circ\end{array}}$

$\large\boxed{\begin{array}{l}\rm o~\hat angulo~inscrito~\acute e~metade~do~\hat angulo~central.\\\rm x=\dfrac{110^\circ}{2}\\\\\rm x=55^\circ\end{array}}$