• Matéria: Matemática
  • Autor: camilasa323
  • Perguntado 3 anos atrás

Determine o valor de x nos seguintes polígonos:

Anexos:

Respostas

respondido por: auditsys
2

Resposta:

\textsf{Leia abaixo}

Explicação passo a passo:

\mathsf{x + 90\textdegree + 2x = 60\textdegree = 360\textdegree}

\mathsf{3x + 150\textdegree = 360\textdegree}

\mathsf{3x = 210\textdegree}

\boxed{\boxed{\mathsf{x = 70\textdegree}}}

\mathsf{S_I = (n - 2)\:.\:180\textdegree}

\mathsf{105\textdegree + 105\textdegree + x + x + x = (5 - 2)\:.\:180\textdegree}

\mathsf{3x + 210\textdegree = (3)\:.\:180\textdegree}

\mathsf{3x + 210\textdegree =540\textdegree}

\mathsf{3x =330\textdegree}

\boxed{\boxed{\mathsf{x = 110\textdegree}}}

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