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How many sides would a polygon have if the angles added up to 172 degrees?
Wiki User
∙ 13y ago
It wouldn't exist if the angles added up to 172o: the minimum sum for the angles of a polygon is that of a triangle, 180o - all the polygons with more sides are multiples of this, namely 4 sides => sum is 360o, 5 sides => sum is 540o, etc.
If you mean:
How many sides would a polygon have if all the angles were 172 degrees?
then the answer is 45 sides.
For all polygons:
- exterior_angle + interior_angle = 180o
- sum_of_exterior_angles = 360o
For a regular polygon:
- number_of_sides x size_of_one_interior_angle = 360o
Interior angle = 1720 => exterior_angle = 8o
=> number_of_sides = 360o / 8o = 45.
E
Wiki User
∙ 13y ago
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Which polygon has 4 sides and 4 angles?
It is a quadrilateral polygon that has 4 sides and 4 interior angles that add up to 360 degrees.
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360 degrees
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What is the angle sum of a dodecagon?
2800 degrees * * * * * No. The interior angles of a polygon with n sides is (n-2)*180 degrees. Here, n = 12 so the answer is 1800 degrees. A polygon whose interior angles added to 2800 degrees would have 17 5/9 sides! Since a fractional number of sides is impossible, so is such a polygon.
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A regular polygon with exterior angles of 30 degrees has: 360/30 = 12 sides
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By 900 degrees as for example a triangle has 3 sides that add up to 180 degrees then if 5 sides are added to it then it then is an 8 sided octagon with interior angles that add up to 1080 degrees
If sum the interior angles of a polygon is 5940 degrees how many sides does the polygon have?
35 sides
If the sum of interior angles of a polygon is 4680 degrees how many sides does the polygon have?
15 sides
If the exterior angle of a regular polygon is 108 degrees how many sides does the polygon have?
That's true if the interior angles are 108 degrees, but a regular polygon cannot have exterior angles of 108 degrees.
What is the number of sides of the polygon is its exterior angles is 90 degrees?
If all of its exterior angles are 90 degrees then it will have 4 sides
How many sides does a polygon have if the interior angles equal 180 degrees?
If all of the interior angles of the polygon add up to 180 degrees, then the polygon is a triangle.
How many sides has a polygon if the sum of its angles is 900 degrees?
The polygon would be a heptagon.So, the polygon would have 7 sides.
How many sides does a 2880 polygon have?
A polygon whose interior angles are 2880 degrees has 18 sides.
