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

Updated: 4/28/2022 Wiki User

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An obtuse triangle has 3 sides. Wiki User

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

### 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.

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

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

### 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

### 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.

### 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 = 180&ordm; x (n-2) Obviously, n must be greater than or equal to 3

### 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 many degrees does a regular polygon have?

-- The exterior angles of a polygon add up to 360 degrees, no matter how many of them there are.-- The interior angles of a polygon add up to [ (180) times (number of sides minus 2) ].-- These are both true whether or not the polygon is 'regular'.