How many sides does a regular polygon have if each exterior angle is 22?

Thus, we cannot have a regular polygon with an exterior angle of 22° as the number of sides is not a whole number.

What polygon has an exterior angle of 22.5 degrees?

Each exterior angle of a regular polygon is 22.5 degrees. How many sides does the shape have? 360 degrees (around the shape) divided by 22.5 degrees = 16. So the shape has 16 sides.

What polygon has an exterior angle of 24?

Understanding Quadrilaterals | Exercise 3.2. Q3) How many sides does a regular polygon have if the measure of an exterior angle is 24°? => Number of sides of polygon with each angle of 24 is 15.

How many sides does a polygon have if the measure of each exterior angle is 22.5 What is the sum of the measures of the interior angles?

Each angle of a regular polygon measures 157.5˚. How many sides does this n-gon have? b) If each interior angle is 157.5˚, then each exterior angle is 180˚157.5˚= 22.5˚. Since the sum of the exterior angles of any n-gon is 360˚, 360˚÷ 22.5˚ 16sides.

How many sides does a polygon with an interior angle of 5400 have?

Hence, the polygon has 32 sides.

How many sides has a regular polygon If the measure of an exterior angle is 72 degrees?

5 sides
We do this by dividing 360° by the size of one exterior angle, which is 72°. The answer is 360° ÷ 72° = 5 sides.

How many sides does a regular polygon have if the exterior angle is 165?

24
Summary: The number of sides a regular polygon has if the measure of an exterior angle is 165° is 24.

How many exterior angles does a regular polygon have?

Given that Exterior angle = 24° Let number of sides = n In a regular Polygon Sum of the exterior angles = 360° Exterior Angle × Number of sides = 360° 24° × n = 360° n = 360″°” /24″°” n = 15 ∴ Polygon has 15 sides

How many sides does a 24 degree polygon have?

Given that Exterior angle = 24° Let number of sides = n In a regular Polygon Sum of the exterior angles = 360° Exterior Angle × Number of sides = 360° 24° × n = 360° n = 360″°” /24″°” n = 15 ∴ Polygon has 15 sides

How many sides does a polygon with an angle measure S40^O?

The exterior angles of any regular polygon must add up to 360^o. Since the angle measure given iin the questions s 40^o, take 360^o/40^o = 9. Meaning there are 9 exterior angles and therefore 9 sides to the polygon.

How do you find the number of sides of a polygon?

The sum of the interior angles of a regular polygon is given by the formula: 180(n – 2) degrees, where n is the number of sides of the polygon. Thus, given one of the interior angles of a polygon, say m, to find the number of sides of the polygon, we solve for n in the equation: 180(n – 2) = mn, where m is the given interior angle measure.