Question: How Many Sides Does A Regular Polygon Have If The Measure Of An Interior Angle Is 24?

What is a 30 sided polygon called?

triacontagonIn geometry, a triacontagon or 30-gon is a thirty-sided polygon.

The sum of any triacontagon’s interior angles is 5040 degrees..

What is the name of a 5 sided shape?

pentagonMore than Four Sides A five-sided shape is called a pentagon. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides…

How many sides does a regular polygon have if the interior angle is 150?

12 sidesIf each angle of a regular polygon measures 150°, then the polygon has 12 sides.

What are the exterior and interior angles of a 24 sided polygon?

So, for a 24-sided regular polygon, each exterior angle = 360°/24 = 15°. Consequently, each interior angle of a 24-sided regular polygon = 180° – 15° = 165°.

Can a regular polygon have interior angles of 22?

No it is not possible to have each exterior angle 22 degrees.

What is a 25 sided shape called?

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

What is the interior angle of a 20 sided polygon?

3240 degreesIn geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon’s interior angles is 3240 degrees.

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.

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

What is a 100 sided shape?

hectogonIn geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon’s interior angles are 17640 degrees.

What is the sum of the interior angles of a 5 sided polygon?

The General RuleShapeSidesSum of Interior AnglesTriangle3180°Quadrilateral4360°Pentagon5540°Hexagon6720°6 more rows

How many sides does a regular polygon have if the interior angle is 24?

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.

What is the interior angle of a 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.

How many sides does a regular polygon have if each of its interior angle is?

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

Is it possible to have a regular polygon if each interior angle is 110?

It is not possible to have a regular polygon if each interior angle is 110 degree​. Also, the sum of all exterior angles in a regular polygon is 360°.

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