Question

Os ângulos externos de um polígono regular medem 30º. Então, marque a alternativa que indica a soma das medidas de abertura dos ângulos internos desse polígono
(A) 2440°
(B) 2880°
(C) 25000°
(D) 1600°
(E) 1800° ​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{a_E = \dfrac{360\textdegree}{n}}$

$\mathsf{30\textdegree = \dfrac{360\textdegree}{n}}$

$\mathsf{n = \dfrac{360\textdegree}{30\textdegree}}$

$\mathsf{n = 12}$

$\mathsf{S_I = (n - 2) \times 180\textdegree}$

$\mathsf{S_I = (12 - 2) \times 180\textdegree}$

$\mathsf{S_I = 10 \times 180\textdegree}$

$\boxed{\boxed{\mathsf{S_I = 1.800\textdegree}}}\leftarrow\textsf{letra E}$