How many sides does a regular polygon have if its interior angle is 135 degree?

How many sides does a regular polygon have if its interior angle is 135 degree?

Hence, the regular polygon has 8 sides.

What regular polygon has angles of 135 degrees?

Regular octagon
Octagon

Regular octagon
Symmetry group Dihedral (D8), order 2×8
Internal angle (degrees) 135°
Dual polygon Self
Properties Convex, cyclic, equilateral, isogonal, isotoxal

Can a regular polygon have interior angles of 135?

Question 4 Hence, it is possible to have a regular polygon whose interiro angle is 135° . Hence, it is possible to have a regular polygon whose interior angle is 138°.

How many sides does a regular polygon have if its interior angle is 140?

9
What is the name of a polygon whose interior angles are each 140°? Subtract both sides by 180°n. = 9. Therefore, the number of sides is 9 (nonagon).

How do you find the sides of an interior angle?

Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15. Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon.

How many sides does a regular polygon have if each of its interior angle is 140 degree?

n = 9 sides.

Is it possible to have a regular polygon whose interior angles measure 130?

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.

What polygon has an interior angle of 140?

regular nonagon
So, the measure of the angle of a regular nonagon is 140 degrees.

Is nonagon a polygon?

In geometry, a nonagon (/ˈnɒnəɡɒn/) or enneagon (/ˈɛniəɡɒn/) is a nine-sided polygon or 9-gon. The name nonagon is a prefix hybrid formation, from Latin (nonus, “ninth” + gonon), used equivalently, attested already in the 16th century in French nonogone and in English from the 17th century.

How do you solve for interior angles?

The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.

What is the name of polygon whose each interior angle is 140?

nonagon

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