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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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What is the interior angle of a 18 sided polygon?
Providing that it is a regular polygon then each interior angle will measure 160 degrees
What is the measure of an angle of a regular 20-sided polygon?
The interior angles of an n-sided polygon add to (n-2)*180 degrees. So the interior angles of a 20-gon add to 18*180 = 3240 degrees. The 20-gon is regular so each angle is a 20th of this ie 3240/20 = 162 deg.
What shape has a exterior angle of 20 degrees?
A regular 18 sided polygon has 18 exterior angles each measuring 20 degrees
What is the interior angle of a twenty sided polygon?
A twenty-sided polygon is called an "icosagon" If it is a regular icosagon - all its sides and angles are equal - then it's interior angles are all 162 degrees. You can verify this by drawing a line to the centre from each angle.. There will be 20 small angles arranged in a circle around the centre. These must total 360 degrees. As 360 / 20 = 18, this leaves the other angles of each triangle to add up to 162, because the interior angles of a triangle total 180 degrees.
What is the measure of one interior angle of a regular 13 gon?
Each interior angle measures: 152o 18' 27.69''
