Question

Qual o ângulo interno de um dodecágono?

Answer 1

$\large\boxed{\begin{array}{l} \sf \:A_i = \dfrac{(n - 2) \: . \: 180 {}^{ \circ} }{n} \\ \\ \sf \: A_i = \dfrac{(12 - 2) \: . \: 180 {}^{ \circ} }{12} \\ \\ \sf \: A_i = \dfrac{10 \: . \: 180 {}^{ \circ} }{12} \\ \\ \sf \: A_i = \dfrac{1800 {}^{ \circ} }{12} \\ \\ \boxed{ \boxed{ \sf{A_i = 150 {}^{ \circ} }}}\end{array}}$