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Q: What is the smallest number of sides a regular polygon with obtuse angles can have?

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An obtuse triangle has 3 sides.

No. To elaborate, the smallest regular polygon, an equilateral triangle, has 60 degree interior angles. The next larger one, a square, has 90 degree interior angles. In fact, for any regular polygon, the interior angles measure 180*(n-2)/n degrees, where n is the number of sides. No polygon has less than 3 sides. Thus, no regular polygon can have interior angles less than 60 degrees.

i don't really get the "same number of sides" ----- the angles of a polygon are the same with other angles within the polygon, if it is a regular polygon, and there a formula for getting the total sum of angles which is 180X(N-2) where N is the number of sides.

equation for any regular polygon when n = number of sides: 180(n-2)/n

(number of sides-2)*180 = total sum of interior angles

It is not possible to name each polygon since there are infinitely many of them. There is no relationship between whether a polygon is regular and the number of sides or angles that it has. So, there is no way to determine, from its name, if a polygon is regular.

A 6 sided polygon is called a Hexagon. The sum of the interior angles or a regular hexagon is 720 degrees.

When the sides of a regular polygon increases its interior angles also increases

A four-sided regular polygon (square or rectangle) has 900 interior angles.

Let n = the number of sides of a regular polygon The sum of the interior angles of a regular polygon (A) is found in this equation: A = 180º x (n-2) Obviously, n must be greater than or equal to 3

14 sides in the polygon

Interior angles 178 so exterior angles 2. Number of sides of any regular polygon = 360/exterior angle You polygon has 180 sides. Bet you're glad you didn't have to sketch it!

It is: (number of sides -2)*180 = sum of interior angles If its a regular polygon then: sum of interior angles/number of sides = each interior angle

A regular polygon with 17 sides has exterior angles that add up to 360. That is the sum of the exterior angles no matter how many sides a regular polygon has. The sum of the interior angles is (n-2) 180 degrees where n is the number of sides. In this case that is 15x180 which is 2,700

If a regular polygon has n sides, then the number of triangles in that polygon is n - 2. thus, the sum of its interior angles is equal to (n - 2)180°.

The number of angles on a polygon is the same number of sides the shape has.

No; apart from the fact that "regular number" of sides does not mean anything. What numbers do you consider to be regular and why? In any case, a regular polygon is one which has all sides of equal length AND all angles of equal measure. A square is the only regular 4-sided polygon. A rectangle has equal angles but not sides, a rhombus has equal sides but not angles. All other quadrilaterals fail on both counts.

22/3 sides.-- The smallest possible number of sides for a polygon is 3, in a triangle.If the triangle is regular, then each interior angle is 60 degrees.-- The next polygon is the quadrilateral, with 4 sides. If the quadrilateralis regular, then each interior angle is 90 degrees.-- We can see that as the number of sides increases, the interior angles get bigger.-- So the triangle is the polygon with the smallest interior angles.And those are 60 degrees, so a polygon with all45-degree interior anglesisn't possible. Some of them could be, but never all.

Exterior angle regular polygon = 360° ÷ number of sides = 360° ÷ W Interior angle regular polygon = 180° - exterior angle regular polygon = 180° - (360° ÷ number of sides ) = 180° - (360° ÷ W)

Either. A 5-sided polygon can be either regular or irregular. It is only regular if all sides and all angles are equal. Otherwise it is irregular. The number of sides is insufficient to determine whether a polygon is regular or irregular.

A regular polygon of n sides (where n > 4) has n obtuse angles. Since there is no limit to the number of sides that a polygon can have, there can be no limit to the number of obtuse angles in a shape.

Each interior angle = sum of angles/number of sides

It is a regular octagon which has 8 sides

It is not possible to determine the length of the sides of a regular polygon simply from the number of sides.