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We can use a formula to find the sum of the interior angles of any polygon. In this formula, the letter n stands for the number of sides, or angles, that the polygon has.

sum of angles = (n - 2)180Â°

Substituting in 900 for the sum of the interior angles...

900 = (n-2) * 180

divide both sides by 180

5 = n - 2

add 2 to both sides

7 = n

This is a seven sided Polygon. In geometry, a heptagon (or septagon) is a polygon with seven sides and seven angles.

Q: If the sum of the interior angles of a regular polygon is 900 degrees how many sides does it have?

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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.

6

That's true if the interior angles are 108 degrees, but a regular polygon cannot have exterior angles of 108 degrees.

There is no such regular polygon with 45 degree interior angles; the smallest interior angles in regular polygons are 60 degrees, which is found in a triangle.

The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. 1620 degrees

Related questions

The interior angles of a regular polygon must be 60 degrees or greater.

No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more.

The sum of the interior angles of a n-sided polygon is (n-2)*180 degrees. This is true whether or not the polygon is regular.

The interior angles of a polygon (regular or not) with n sides sum to (n - 2)*180 degrees.

The interior angles of a regular polygon cannot be less than 60 degrees so 24 degrees is not possible. ------------------------------- However a regular polygon with EXTERIOR angles of 24° has 360° ÷ 24° = 15 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.

No.

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

The sum of the interior angles of an n-sided polygon is 180n - 360 degrees.

A 13 sided regular polygon

If it's a regular polygon then each interior angle measures 120 degrees.

Providing it is a regular polygon they are 156 degrees