Question

calcule a medida de cada ângulo interno do pentagono regular ABCDE

Answer 1

Aí = 180(n-2)/n

Aí = 180(5-2)/5

Aí = 180(3)/5

Aí = 540/5

Aí = 108° ✓

Answer 2

$\large\boxed{\begin{array}{l} \sf \:A_i = \dfrac{(n - 2) \: . \: 180 {}^{ \circ} }{n} \\ \\ \sf \: A_i = \dfrac{(5 - 2) \: . \: 180 {}^{ \circ} }{5} \\ \\ \sf \: A_i = \dfrac{3 \: . \: 180 {}^{ \circ} }{5} \\ \\ \sf \: A_i = \dfrac{540 {}^{ \circ} }{5} \\ \\ \red{ \boxed{ \boxed{ \sf{ \: \therefore \: A_i = 108 {}^{ \circ} \: }}}}\end{array}}$