Respuesta :

Answer: [tex]235^{\circ}[/tex]

Step-by-step explanation:

Given

The Sum of the seven interior angles of an octagon is [tex]845^{\circ}[/tex]

for a Polygon, the sum of the interior angles is given by [tex](n-2)180^{\circ}[/tex]

for octagon, n=8

The Sum of interior angles is [tex](8-2)360^{\circ}=1080^{\circ}[/tex]

Suppose the eighth angle be [tex]x[/tex]

[tex]\therefore x+845=1080\\\Rightarrow x=235^{\circ}[/tex]

The [tex]8^{th}[/tex] angle is [tex]235^{\circ}[/tex]

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