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An obtuse triangle has 3 sides.

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

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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!

Exterior angles of ANY polygon add to 360 degrees. Individual angles are therefore 360/n where n is the number if sides. 72

If interior angles are 177o then exterior angles are 3o. Exterior angle times number of sides is always 360 so the polygon has 120 sides.

Yes and it is: sum of interior angles/number of sides

For any regular polygon with number of sides n, the sum of the internal angles is equal to (n - 2) x 180. Therefore, the number of sides of a shape the sum of whose internal angles are equal to 900 is equal to (n - 2) x 180 = 900, therefore, n = (900 / 180) + 2 = 7. The number of sides the shape will have is 7, making it a heptagon (also known as a septagon). It is not necessarily regular however, because although the angles in a regular heptagon would add to 900 degrees, an irregular heptagon would also add to this number.

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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.

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

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

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

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.

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

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!

-- 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'.