Question

Encontre o valor do ângulo interno desse polígono.

Answer 1

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$\large\boxed{\boxed{\tt{\underline{Relac_{\!\!,}\tilde{a}o~entre~o~\hat{a}ngulo~interno~e~externo}}}}}\\\huge\boxed{\boxed{\boxed{\boxed{\boxed{\sf{a_i+a_e=180^{\circ}}}}}}}$

$\sf{4x+16^{\circ}+13x+96^{\circ}=180^{\circ}}\\\sf{17x+112^{\circ}=180^{\circ}}\\\sf{17x=180^{\circ}-112^{\circ}}\\\sf{17x=68^{\circ}}\\\sf{x=\dfrac{68^{\circ}}{17}}\\\huge\boxed{\boxed{\boxed{\boxed{\boxed{\sf{x=4^{\circ}}}}}}}$