Question: What Is The Maximum Interior Angle Possible For A Regular Polygon?

How many sides does a regular polygon have if the measure of an exterior angle is 45 degree?

8As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 ..

How many sides does a polygon have with an interior angle of 135?

eight sidesAnswer. It is a octagon ( eight sides ). so, 1080/ 8 = 135° .

Is it possible to have a regular polygon each of whose interior angle is 45?

It impossible for a interior angle of a regular polygon to equal degrees. … The sum of the exterior angles of any polygon is degrees, so the number of sides would be supposedly equal to or .

How many sides does a regular polygon have if the interior angle is 165?

24Hence, the regular polygon with interior angle each measuring 165 degrees is a 24-sided polygon.

What is the interior angle of a 18 sided polygon?

160.00°Regular PolygonsSidesNameInterior Angles18Octdecagon160.00°19Enneadecagon161.05°20Icosagon162.00°30Triacontagon168.00°25 more rows

What is a 25 sided shape called?

pentaSystematic polygon namesOnesTwenties4tetra-245penta-256hexa-267hepta-276 more rows

What is the maximum exterior angle possible for a regular polygon and why?

120 is maximum exterior angle. possible for a regular polygons. … in which sum of all interior angles is 180. so, each angles is 60.

Can a regular polygon have interior angles?

The interior angles of a polygon are those angles at each vertex that are on the inside of the polygon. There is one per vertex. So for a polygon with N sides, there are N vertices and N interior angles. For a regular polygon, by definition, all the interior angles are the same.

What is the formula for interior angles?

You can use the same formula, S = (n − 2) × 180° S = ( n – 2 ) × 180 ° , to find out how many sides n a polygon has, if you know the value of S , the sum of interior angles.

What is the interior angle of a 7 sided polygon?

The General RuleShapeSidesSum of Interior AnglesQuadrilateral4360°Pentagon5540°Hexagon6720°Heptagon (or Septagon)7900°6 more rows

How many sides does a regular polygon have if the measure of an exterior angle is I 400 II 450?

Explanation: The exterior angles of any regular polygon must add up to 360o . Since the angle measure given iin the questions s 40o , take 360o40o = 9. Meaning there are 9 exterior angles and therefore 9 sides to the polygon.

What is the minimum interior angle possible for a regular polygon *?

Thus, 22° cannot be an interior angle of a regular polygon. How many sides does a regular polygon have if each of its interior angles is 165°?

What is the interior angle of a regular 24 sided polygon?

3960 degreesIn geometry, an icositetragon (or icosikaitetragon) or 24-gon is a twenty-four-sided polygon. The sum of any icositetragon’s interior angles is 3960 degrees.

What is the interior angle of a 25 sided polygon?

172.8°The sum of any pentacontagon’s interior angles is 8640 degrees….Pentacontagon.Regular pentacontagonSchläfli symbol{50}, t{25}Coxeter diagramSymmetry groupDihedral (D50), order 2×50Internal angle (degrees)172.8°5 more rows

How many sides does a regular polygon have if the measure of an exterior angle is 15 degree?

24Therefore if a regular polygon has exterior angles of 15 degrees then the number of sides must be 360/15 = 24.

How many sides does a regular polygon have if the measure of an exterior angle is 24 degree?

Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.

How many sides does a regular polygon have if the exterior angle is 30?

12Explanation: Sum of exterior angles of every polygon irrespective of number of its sides is 360o . As it is a regular polygon, all exterior angles are equal and are 30o . Hence number of sides of the polygon is 360o30o=12 .

How many sides does a regular polygon have if the exterior angle is 60?

6.exterior angle 1= 360 . n*60=360 => n=6. n(number of sides) = 6.

What is the minimum interior angle possible?

The maximum exterior angle possible for a regular polygon is 120. And minimum interior angle possible for a regular polygon is 60.

Is it possible to have a regular polygon whose interior angle is 125 degree?

The number of sides has to be a natural number, so 7.2 is not possible, therefore 130° is not possible for the angles of a regular polygon.

How many sides does a polygon have with an interior angle of 162?

20 sides1 Answer. If all interior angles are 162o , polygon has 20 sides.