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How many sides does a regular polygon have if its exterior angles are equal to its interior angles?
4 such as a square
What is the measure of each angle of a regular polygon with 7 sides?
A regular polygon has sides of equal length, as well as interior angles of equal measure. But for any regular polygon, the sum of the measures of the exterior angles is 360 degrees. You can use this information to find out the measure of an interior angle, because the sum of the measures of each interior/exterior pair of angles is always 180 degrees. So to find the answer to this problem, divide 360 by 7. Each exterior angle is about 51.4 degrees. Subtract that number from 180. Each interior angle is about 128.6 degrees.
What types of angles are equal?
alternate interior and alternate exterior angles
What is the formula to find the interior angles of a polygon?
If the polygon is a regular polygon then all interior angels are equal to 180-(360/no of sides of the polygon)
How do you find the measure of an interior and exterior angle of a 15-gon?
Example: a regular 15-gon The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. 180 x 13 = 2340 There are fifteen angles. 2340/15 = 156 An interior angle of a regular 15-gon is 156 degrees. There are two ways to find the exterior angles. The interior and exterior angles add up to 180. 180 - 156 = 24. The exterior angles of any polygon add up to 360. 360/15 = 24
What type of regular polygon has equal interior and exterior angles?
A quadrilateral.
A regular polygon with interior and exterior angles that equal?
Square or rectangle
Is the sum of the remote interior angles in a polygon equal to the exterior angle?
No.
Are Exterior and interior angles equal to 360?
No because an exterior angle and an interior angle of a polygon add up to 180 degrees but exterior angles around a polygon add up to 360 degrees
How many sides does a regular polygon have if its exterior angles are equal to its interior angles?
4 such as a square
What polygon has the sum of the interior angles equal to two times the sum of the exterior angles?
hexagon
What are exterior angles?
Exterior angles are the angles formed when a side of a polygon is extended, and they are adjacent to the interior angle at that vertex. In a polygon with n sides, there are n exterior angles, one at each vertex. The sum of the exterior angles of any polygon is always 360 degrees.
What properties of a polygon make it regular?
When all sides are equal and all interior and exterior angles are equal.
What are the properties of regular polygon?
Interior angles are equal and sides are equal in length and exterior angles add up to 360 degrees
Interior and exterior angles of a 30 sided polygon?
The total of the interior angles equal 5040, and each angle measures 168 degrees The total of the exterior angles equal 360, and each angle measures 12 degrees
How many sides does a polygon have if the sum of its interior angles is equal to the sum of its exterior angles?
The sum of the exterior angles of all polygons equals to 360⁰.Since only the sum of the interior angles of all quadrilaterals equals to 360⁰, the polygon must have 4 sides.
What polygon does the sum of the measures of interior angles equal the sum of the measures of the exterior angles?
A 4 sided quadrilateral has interior angles that add up to 360 degrees and its exterior angles add up to 360 degrees
