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Providing that it is a regular polygon then each interior angle will measure 160 degrees

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Q: What is the interior angle of a 18 sided polygon?

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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.

To work out the interior angle use this formula(n - 2)*180/nwhere n is the number of sidesso for an 18 sided shape it would be(18-2)*180/18 = 160.

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.

20

A regular 18 sided polygon has 18 exterior angles each measuring 20 degrees

Related questions

The interior angle of an octdecagon, an 18 sided regular polygon, is 160o.

The interior angles of an 18 sided polygon add up to 2880 degrees

Providing that it is a regular 18 sided polygon each interior angle measures 160 degrees.

Providing that it's a regular polygon each interior angle is: 1520 18' 27.69''

2880 degrees

Each interior angle measures 160 degrees

exterior angle = 360° ÷ 20 sides = 18° interior angle = 180° - exterior angle = 180° - 18° = 162°

It wil be a regular 18 sided polgon

The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / nSubstituting with n=18, then the answer is that the interior angle = 160The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 18, then the answer is that the exterior angle = 20

You simply do 360/20=18 so the size of each interior angle is 18 degrees.

A 39 sided polygon

The sum of the interior angles of an n-gon is (n-2)*180 degrees So for a 20 sided polygon, the sum is 18*180 = 3240 degrees. Alternatively, the sum is 18*pi radians.