Find the sum of angles of a 12 sided polygon ?
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Answer:
The total interior angle of a 12 sided polygon is = (12 - 2) 180 degrees = 1800 degrees. The internal angle at each vertex of an regular dodecagon is equal to = = 150 degrees. ... The total exterior angle of a 12 sided polygon is 360 degrees.
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Given:
There are 12 sides of a polygon.
To Find:
The angle sum of a polygon with number of sides 12.
Solution:
We know that,
If a polygon has n sides, then its interior angle sum is given by the following equation:
S = ( n −2) × 180°
Here, we have n = 12
So, by substituting n = 12 in the equation, we get
S = ( 12 −2) × 180° = 10 × 180° = 1800°
Hence, the angle sum of a polygon with the number of sides 12 is 1800°.
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