Question

Qual é a medida de cada ângulo interno de um dodecágono regular polígono regular de 12 lados

Answer 1

Si= 180°.(n-2)

Si= 180.(12-2)

Si= 180.10

* Si= 1800*

Angulo interno= Si / n

Ai= 1800 / 10

* Ai = 180 *

Answer 2

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