No angle has 10 sides. An angle has two sides.
10
If it is a regular polygon then it will have 10 sides
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.
To find the interior angle of any polygon. Exterior Angle = 360 / n ( the number of sides) Interior angle = 180 - exterior angle. So for a decagon ( 10 sides) Ext angle = 360 / 10 = 36 Int angle = 180 - 36 = 144.
It is: 360/10 = 36 sides
It will have 10 sides and it is a decagon
10 sides
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.
Those wouldn't be angle measurements, they would be sides. A triangle could be constructed with sides of those lengths.
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.
It is a decagon (10 sides) because if the interior angle is 144° then the exterior is 36°. 360 Divided by 36 is 10 and so it is a decagon.
A regular polygon with 10 sides is called a decagon. The formula of angle sums of a polygon is: Angle Sums = (n - 2)180° where n = number of sides. So, Angle Sums = (10 - 2)180° = 8 x 180° = 1,440°