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#mathematics
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#polygons
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#geometry
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The sum of interior angles of a regular
polygon is 3690 . Find the number of sides
of the regular poly?
Mervede Matondo
Mar 5
The sum of interior angles of a regular polygon is 3690 . Find the number of sides of the regular poly?
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ChatGPT
Mar 5
To find the number of sides of the regular polygon, we can use the formula for the sum of interior angles of a polygon:
Sum of interior angles = (n-2) * 180
Where n is the number of sides of the polygon.
Given that the sum of interior angles is 3690, we can set up the equation:
3690 = (n-2) * 180
Solving for n:
3690 = 180n - 360
4050 = 180n
n = 4050 / 180
n = 22.5
Since the number of sides of a polygon must be a whole number, we can conclude that the regular polygon has 22 sides.
Sum of interior angles = (n-2) * 180
Where n is the number of sides of the polygon.
Given that the sum of interior angles is 3690, we can set up the equation:
3690 = (n-2) * 180
Solving for n:
3690 = 180n - 360
4050 = 180n
n = 4050 / 180
n = 22.5
Since the number of sides of a polygon must be a whole number, we can conclude that the regular polygon has 22 sides.
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