Write the formula to find sum of all present angles in any regular polygon by Angle sum property.
Answers
Answer:
(n-2)x 180 degrees : The formula for finding the sum of all angles in a polygon (REGULAR).
Step-by-step explanation:
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Answer:
The formula to find the sum of all present angles in any regular polygon is given by angle sum property as S = (n-2)*180
Step-by-step explanation:
By multiplying the number of triangles by 180°, it is possible to calculate the angle sum of this polygon for internal angles.
We can determine that there are always two more triangles than sides. Now that we know this, we can state that if a convex polygon has n sides, then the following formula can be used to get the sum of its interior angle:
S = (n-2)*180
where
S= Sum of all resent angles in any regular polygon by angle sum property.
n= Number of sides of the regular polygon
A polygon's outer angle is created by extending just one of its sides outward. The external angle is the angle created by extending the side of the polygon next to an inner angle. As a result, we can conclude that if a polygon is convex, the sum of the exterior angles' degree measurements—one at each vertex—is 360°. The total of the outer angles is therefore 360°. The sum of the exterior angles, for any closed structure made up of sides and a vertex, is always equal to the sum of the linear pairs and the sum of the interior angles.
Therefore
S = 180n - 180 (n-2)
S = 180n - 180n + 360
S = 360°
Additionally, an equiangular polygon's outer angles are measured as 360°/n.
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