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for a polygon you use order of operations with this equation: [# of side subtracted by 2] multiply by 180= your answer

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What is the shape when the interior angle is 175 degrees?

A shape with an interior angle of 175 degrees is typically a convex polygon with at least one angle measuring that amount. In general, polygons with such large interior angles tend to have more sides, as the sum of the interior angles increases with the number of sides. For example, a polygon with 12 sides (dodecagon) can have one angle measuring 175 degrees. However, a shape with an interior angle of 175 degrees would not be a simple triangle or quadrilateral, as their maximum interior angles are less than 180 degrees.


What is the number of sides when the interior angle is 180 degrees?

A shape has three sides if its interior angles add up to equal 180 degrees.


What is the interior angle for a perfect octagon?

To work out the angle of any 'perfect shape' you use this formula: interior angle =((number of sides - 2) x 180)/ number of sides for an octagon: interior angle =((8-2) x 180 )/ 8 = 135 degrees


How do you find out how many sides a shape has using the interior angle?

To find the number of sides ( n ) of a polygon using its interior angle ( A ), you can use the formula for the interior angle of a regular polygon: ( A = \frac{(n-2) \times 180}{n} ). Rearranging this equation, you get ( n = \frac{360}{180 - A} ). By substituting the known value of the interior angle ( A ), you can calculate the number of sides ( n ) of the polygon.


How many sides does a regular polygon have if the measure of one interior angles is 144?

interior angle = (sides - 2) * 180 / sides sides * interior angle = 180 * sides - 360 sides * (interior angle - 180) = -360 sides = -360 / (interior angle - 180) sides = 360 / (180 - interior angle) So, for 144 degrees: sides = 360 / 36 = 10

Related Questions

What is the shape when the interior angle is 175 degrees?

A shape with an interior angle of 175 degrees is typically a convex polygon with at least one angle measuring that amount. In general, polygons with such large interior angles tend to have more sides, as the sum of the interior angles increases with the number of sides. For example, a polygon with 12 sides (dodecagon) can have one angle measuring 175 degrees. However, a shape with an interior angle of 175 degrees would not be a simple triangle or quadrilateral, as their maximum interior angles are less than 180 degrees.


What is the amount of sides of a polygon with an interior angle of 176 degrees?

90 sides


What is the interior angle of a shape with 5 sides?

If it's a regular 5 sided shape, then 72o


What is the angle sum of a shape with 11 sides?

The formula to find the sum of the angles of any shape is: (sideCount-2)*180 If the shape has 11 sides the total interior angle is: 1620.


What is the number of sides when the interior angle is 180 degrees?

A shape has three sides if its interior angles add up to equal 180 degrees.


What is the interior angle for a perfect octagon?

To work out the angle of any 'perfect shape' you use this formula: interior angle =((number of sides - 2) x 180)/ number of sides for an octagon: interior angle =((8-2) x 180 )/ 8 = 135 degrees


What shape has 150 in each interior angle?

If the interior angle is 150° then the exterior angle measures 180 -150 = 30°. The sum of the exterior angles of a regular or convex polygon = 360° The number of sides is therefore 360/30 = 12 sides The shape is a dodecagon.


Do trapezoids have four interior angles?

Yes, they do. An interior angle is an angle inside a shape. A trapeziod (a quadrilateral with one pair of parallel sides) has four angles, all of them being interior.


How do you find out how many sides a shape has using the interior angle?

To find the number of sides ( n ) of a polygon using its interior angle ( A ), you can use the formula for the interior angle of a regular polygon: ( A = \frac{(n-2) \times 180}{n} ). Rearranging this equation, you get ( n = \frac{360}{180 - A} ). By substituting the known value of the interior angle ( A ), you can calculate the number of sides ( n ) of the polygon.


Interior angle of and 18 sided shape?

To work out the interior angle use this formula(n - 2)*180/nwhere n is the number of sidesso for an 18 sided shape it would be(18-2)*180/18 = 160.


One exterior angle of a regular polygon measures 30 what is the sum of the polygons exterior angle measures?

If the exterior angle is 30o then the shape has 360/30 = 12 sides. An interior angle = 180 - exterior angle = 180 - 30 = 150. Since the shape has 12 sides the interior angles sum to 150 x 12 = 1800o.


How many sides does a regular polygon have if the measure of one interior angles is 144?

interior angle = (sides - 2) * 180 / sides sides * interior angle = 180 * sides - 360 sides * (interior angle - 180) = -360 sides = -360 / (interior angle - 180) sides = 360 / (180 - interior angle) So, for 144 degrees: sides = 360 / 36 = 10