A 16 sided polygon.
The polygon will have 12 equal sides and each interior angle measures 150 degrees.
Each interior angle of a regular polygon has a measure that is equal to one hundred and eighty degrees times two less than the number of sides in the polygon.
Five. It is a regular pentagon.
All sides must be equal in length and each interior angle must be equal in degrees
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
How many sides does a regular polygon have if the measure of each interior angle is equal to 172 degress ?
A regular polygon has sides of equal length and each interior angle is the same measure
The polygon will have 12 equal sides and each interior angle measures 150 degrees.
Each interior angle of a regular polygon has a measure that is equal to one hundred and eighty degrees times two less than the number of sides in the polygon.
For a regular polygon with sides n, the sum of the interior angles = (n-2)180Therefore, a regular polygon has interior angle sum equal to 540o.(5-2)180=(3)180=540
It will have 10 equal sides
A regular hexagon which has 6 equal sides and 6 equal angles.
The equation for finding the interior angle measures of a regular n-gon is (n-2)*180/n. Thus, if this is set equal to 176 and solved for n, n is found to be 90. Therefore, a regular polygon with each interior angle measure equal to 176, has 90 sides.
6 sides and it is a regular hexagon
Five. It is a regular pentagon.
The interior angle is a regular polygon is equal to 180-360/n, where n is the number of sides. For a 17-sided regular polygon, 180-360/n is approximately 158.824 degrees.
The sum of the exterior angles of a polygon is 360o. For a regular polygon, these are all equal. For an interior angle of 168o the exterior angle is 180o - 168o = 12o Therefore number of sides = 360o / 12o = 30.