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Why does a polygon have a even amount of sides and angles?

Updated: 8/20/2019
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Q: Why does a polygon have a even amount of sides and angles?
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What is the name of a polygon with all even sides?

If a polygon's sides are all of equal length, it is known as a regular polygon. (The measure of each of its angles will be the same as well)


What geometric figure has consecutive sides a different length with no acute angles or obtuse angles?

A pentagon maybe even A polygon


What has opposite angles congruent?

Any polygon with an even number of sides (vertices) in which at least one pair of opposite angles are of the same measure.


A convex polygon has 10 sides and one angle at each vertex what is the sum of the measure of its exterior angle?

The exterior angles of a polygon always total 360 degrees. That doesn't even depend on how many sides the polygon has.


Has 4 equal sides but has no right angle?

-- A rhombus with no right angles. -- Any polygon with an even number of sides could also have.


What has a diagonal which bisects a pair of opposite angles?

Any regular polygon with an even number of sides will have diagonals that satisfy this requirement.


What polygon has an angle of rotation of 180 degrees?

Consider an irregular polygon with an even number of sides - 2n. If the sides 1 and n+1 are of the same length, sides 2 and n+2, sides 3 and n + 3 etc and if the corresponding angles are the same, then the polygon will have a rotational symmetry of 180 degrees.


What are all the shapes that have opposite angels congruent?

Any regular polygon with an even number of sides will have opposite angles of equal measure.


Which shape has rotational symmetry?

There are many shapes: Any regular polygon. An irregular polygon with an even number of sides in which the opposite sides and angles are equal. An irregular polygon with 3n sides where every third side is equal and every third angle is equal. and so on. A circle, ellipse, disc, oval


What is the mathematical name for a 5 sided polygon?

A five sided polygon is known as a pentagon. A regular pentagon has five even sides and five internal angles at 108 degrees each.


What polygon has interior angles that are all obtuse?

octagon, trapezoid, pentagon...* * * * *Not true.A trapezium (or trapeziod) must have at least one acute angle.Any regular polygon with 5 or more sides has all obtuse angles. However, an irregular polygon can always have one or more non-obtuse angles (acute, right or even reflex).


How many sides does a polygon have if the sum of the interior angles is 5040?

28 plausibly. There are an infinite number of possibilities. If we assume all angles are equal, it narrows the field. * * * * * Wrong answer. The interior angles of a 30 sided polygon sum to (30 - 2)*180 = 5040 degrees. And you do not need to assume that the angles are equal. They can even be reflex angles.