Providing that it is a regular polygon then each interior angle will measure 160 degrees
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.
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.
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.
A regular 18 sided polygon has 18 exterior angles each measuring 20 degrees
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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
In a regular 18-sided polygon, the measure of each interior angle can be calculated using the formula ((n-2) \times \frac{180^\circ}{n}), where (n) is the number of sides. For an 18-sided polygon, each interior angle is ( \frac{(18-2) \times 180^\circ}{18} = 160^\circ). The exterior angle, which is supplementary to the interior angle, measures (180^\circ - 160^\circ = 20^\circ). Thus, each interior angle is 160 degrees, while each exterior angle is 20 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.
For an 18-sided polygon (octadecagon), the formula to calculate the interior angle is ((n-2) \times 180° / n), where (n) is the number of sides. Substituting (n = 18), the interior angle is ((18-2) \times 180° / 18 = 160°). The exterior angle can be found using the formula (360° / n), which gives (360° / 18 = 20°). Therefore, each interior angle is 160° and each exterior angle is 20°.
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.
162o. Method 1: Sum of interior angles of n-sided polygon = (2n - 4) right angles. In this case n = 20 so total of interior angles is 36 x 90o. Assuming polygon is regular then each interior angle is (36 x 90) divided by 20 = 3240/20 = 162. Method 2: Exterior angles of regular n-sided polygon = 360/n which in this case = 360/20 =18. Straight line is 180o so interior angle = (180 - exterior angle) = 180 - 18 = 162.
The sum of the measures of the interior angles of an ( n )-sided polygon can be calculated using the formula ( (n - 2) \times 180 ) degrees. For an 18-sided polygon, this would be ( (18 - 2) \times 180 = 16 \times 180 = 2880 ) degrees. Therefore, the sum of the interior angles of an 18-sided polygon is 2880 degrees.
If the 20-sided polygon is a regular polygon, then:The sum of all 20 angles = (20 - 2)180⁰ = 18(180⁰) = 3240⁰Each angle measure = 3240⁰/20 = 162⁰
I believe it may be a 20-sided polygon (a 20-gon). Usually the interior and exterior angles add up to 180. 180 - 162 = 18 So 18 is the exterior angle. Since the exterior angles add up to 360 degrees 360/18 = 20 There you have your answer.
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.
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