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To determine the number of sides in a polygon based on its interior angle, you can use the formula for the interior angle of a regular polygon: ( \text{Interior angle} = \frac{(n - 2) \times 180}{n} ), where ( n ) is the number of sides. If the interior angle is 10 degrees, you can set up the equation: ( 10 = \frac{(n - 2) \times 180}{n} ). Solving this equation reveals that the polygon would have an infinite number of sides, as a 10-degree angle does not correspond to any finite-sided polygon.

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3w ago

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Related Questions

How many sides does a shape have with an exterior angle of 36?

To find the number of sides of a polygon based on its exterior angle, you can use the formula ( n = \frac{360}{\text{exterior angle}} ). For an exterior angle of 36 degrees, the calculation would be ( n = \frac{360}{36} = 10 ). Therefore, the shape has 10 sides, meaning it is a decagon.


What angle have 10 sides?

No angle has 10 sides. An angle has two sides.


How many sides in hex decagon?

16 sides a hexadecagon means hexa (6) and deca (10) and gon (shape (?)) The suffix "-gon" means an angle or vertex.


Whats the name of a 10 sided shape?

Decagon is the name of a 10 sided shape. It consists of ten angles and ten sides with each angle being 144 degrees.


How many SIDES does an obtuse angle contain?

10


A decathlon is a shape that has how many sides?

10


How many sides does a polygon with an interior angle of 144 have?

If it is a regular polygon then it will have 10 sides


How do you calculate the number of sides in a polygon for an exterior angle of 10 degrees?

In general you cannot. Only if the shape in question is a regular polygon, then there are 360/10 = 36 sides.


How many sides does a polygon have if the sum of its interior angle measures 1440 degrees?

10 sides


How many sides does the polygon have if the measure of each interior angle is 144?

It will have 10 sides and it is a decagon


How many sides has a regular polygon if the measure of each exterior angle is 10 degree?

It is: 360/10 = 36 sides


How many sides does a regular polygon have if each angle measures 144 degrees?

We have the interior angle 144∘ . We can find the number of sides using the formula as follows. Thus, the polygon has 10 angles and 10 sides.