To find the polygon with an angle sum of 2700 degrees, we can use the formula for the sum of interior angles of a polygon, which is given by ( (n - 2) \times 180 ) degrees, where ( n ) is the number of sides. Setting the equation ( (n - 2) \times 180 = 2700 ), we can solve for ( n ). This leads to ( n - 2 = 15 ), so ( n = 17 ). Therefore, the polygon with an angle sum of 2700 degrees is a 17-sided polygon, known as a heptadecagon.
2700 degrees
It will have (2700+360)/180 = 17 sides
360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360
2700⁰/180⁰ = 15 (triangles)So the polygon has 17 sides.
A polygon whose internal angles sum to 2700 degrees has 17 sides.
polygon with 17 sides
2700 degrees
It will have (2700+360)/180 = 17 sides
i think its 17
It will have 17 sides
It would have 17 sides beacause: (n-2)*180=2700 n=7
360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360
2700⁰/180⁰ = 15 (triangles)So the polygon has 17 sides.
Theorem 6-1-2; Polygon Exterior Angle Sum Theorem:The sum of the exterior angle measures, one angle at each vertex, of a convex polygon is 360 degrees.
A polygon whose internal angles sum to 2700 degrees has 17 sides.
sum of angles of polygon = 180(n-2) = 180*15 = 2700
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