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Q: How do you work out the number of sides in a regular polygon that has a sum of interior angles?
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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 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


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.


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.


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

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


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!


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


Is there a formula for finding the measure of interior angle of a regular polygon?

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


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

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


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 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)


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

14 sides in the polygon