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

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

triangel


What shape has the smallest number of sides a regular polygon with obtuse angles can have?

An obtuse triangle has 3 sides.


Can a regular polygon's interior angles measure 40 degrees?

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.


How does a polygon have the same number of sides and angles?

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.


If the polygon is regular what is the size of its interior angles?

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


How will you get the sum of the angles of a regular polygon?

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


Name each polygon tell if it appears to be a regular polygon?

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.


What is the total number of degrees on the interior angles of a regular 6 sided polygon?

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


As the number of sides increases how do the angles change?

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


What is the number of sides of a regular polygon if one interior angle measures 90?

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


As the number of sides of a regular polygon increases what happens to the sum of 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


Calculate the number of sides of a regular polygon whose interior angles are each 165 degrees?

14 sides in the polygon


How many sides of a regular polygon with interior angles of 178?

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!


How do you find the sum of angles in a n-sided polygon to give an expression for the measure of each interior angle of a regular n-gon?

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


What is the sum of the angle of a 17 sided regular polygon?

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


How do you divide a polygon into triangles to find the sum of its interior angles?

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°.


How many angles does a polygon have?

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


Can a regular polygon be defined as a polygon that has a regular number of sides?

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.


How many sides does a polygon have with interior angles of 45 degrees?

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.


How do you work out the exterior and interior angles of a regular polygon with W sides?

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)


Is a polygon with 5 sides regular or irregular?

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.


What shape has the most obtuse angle?

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.


If you know the sum of the angles of a regular polygon how can you find the measure of one of the congruent angles?

Each interior angle = sum of angles/number of sides


What is the number of sides of a regular polygon if one of its exterior angles measure 45 degrees?

It is a regular octagon which has 8 sides


What are the sides of the interior angles of a regular 21gon?

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