Can a regular polygon have an interior angle of 160 Why?

Can a regular polygon have an interior angle of 160 Why?

Since it’s a regular polygon, all the interior angles are equal, so they’re all 160 degrees. The sum of the interior angles of a polygon is 180*(n-2). Each angle is the total over n, in this case 160 degrees.

What polygon has 162 degree interior angles?

Regular icosagon
Icosagon

Regular icosagon
Symmetry group Dihedral (D20), order 2×20
Internal angle (degrees) 162°
Dual polygon Self
Properties Convex, cyclic, equilateral, isogonal, isotoxal

How many sides does a regular polygon have if each of its interior angle is 1650?

Thus, the regular polygon has 24 sides.

How many sides does a regular polygon have if the measure of an interior angle is 162?

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

What shape has angles of 160?

Octadecagon

Regular octadecagon
Coxeter diagram
Symmetry group Dihedral (D18), order 2×18
Internal angle (degrees) 160°
Dual polygon Self

Can a regular polygon have an interior angle of 135?

Hence, it is possible to have a regular polygon whose interior angle is 135°. Hence, it is not possible to have a regular polygon having interior angle is of 138°.

How many sides does a regular polygon have if the interior angle is 160?

Step-by-step explanation: If the interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360/20 sides = 18 sides.

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

24
Hence the number of sides a regular polygon has if its interior angle is 165 degrees are 24.

How many sides does a polygon have with interior angle 165?

Can a regular polygon have an interior angle of 150?

A square is a regular polygon that has four sides. In a regular polygon, the sum of an interior angle and its exterior angle is 180∘. Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12.

How many sides does a regular polygon have if each of its interior angles is 165 Class 8?

Solution : Each interior angle is 165°. Therefore, the number of sides of the regular polygon is 24.

How many sides does a polygon have with an interior angle of 150?

12
Its interior angle has measure 150∘. Therefore, the exterior angle has measure 180∘−150∘=30∘. Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12.

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