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Exterior angle + interior angle = 180

Hence

Interior Angle = 180 - Exterior Angle

The Exterior Angle = n(No. of sides ) / 360

Substituting

Interior Angle = 180 - (n/360)

Interior Angle = 180 - (18/360)

Interior Angle = 180 - (1/20)

Interior Angle = 179.95 degrees.

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lenpollock

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1mo ago
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13y ago

To work out the interior angle use this formula

  • (n - 2)*180/n

where n is the number of sides

so for an 18 sided shape it would be

(18-2)*180/18 = 160.

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Q: Interior angle of and 18 sided shape?
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