###### Asked in Math and ArithmeticAlgebraGeometry

Math and Arithmetic

Algebra

Geometry

# What is the different angle measure of interior angle for all polygons?

## Answer

###### Wiki User

###### July 14, 2015 1:54PM

The interior angles of a triangle must lie within the range (0, 180) degrees. For all other polygons, the interior angles must be in the range (0, 360) excluding 180 degrees.

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### What is the sum of the exterior angles of a non convex polygons?

The sum is always 360 degrees. Note, though, that when the
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The sum is always 360 degrees. Note, though, that when the interior
angle is convex, the measure of the exterior angle is
negative.
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angle is convex, the measure of the exterior angle is
negative.
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### Is there a rule to decide if a shape will tessellate?

For regular polygons, the interior angle must be a factor of 360
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For regular polygons, the interior angle must be a factor of 360
degrees.
Irregular triangles and quadrilaterals (whose angle sums are
factors of 360 degrees) will tessellate. For other polygons, I am
not aware of any simple rule.
For regular polygons, the interior angle must be a factor of 360
degrees.
Irregular triangles and quadrilaterals (whose angle sums are
factors of 360 degrees) will tessellate. For other polygons, I am
not aware of any simple rule.
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### What are the different kinds of polygons and their interior angle?

Polygons can be classified in a number of ways.
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consequence is that all its interior angles are less than 180
degrees. A concave polygon is one in which at least one angle is a
reflex angle (> 180 deg). Generally, a polygon may be assumed to
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A regular polygon is one in which all the sides are of equal
length AND all the angles are of equal measure. An irregular
polygon is one in which at least one side is of a different length
from the others OR at least one angle is of a different measure
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number of sides that a polygon may have.
The interior angle of a polygon is pre-determined only if it is
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a measure of
180*(n-2)/n degrees.
A regular triangle [equilateral] is acute angled; a regular
quadrilateral [square] is right angled and all other regular
polygons are obtuse angled.

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