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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.

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

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

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

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.

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

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

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'.

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