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If the interior angle of a regular polygon is 13 times the size of a diagnol angle - how many sides does the polygon have?
The interior angle (A) of a regular polygon is bisected by a diagonal. Therefore two diagonals and one side form an isosceles triangle with two base angles each measuring ½ A. The diagonal angle (at the centre) is thus 180 - A.
We then have A = 13(180 -A) : A = 180 x 13/14
The sum of the interior angles of a regular polygon = 2n - 4 right angles = 90(2n - 4)° where n is the number of sides.
Each interior angle (A) = 90(2n - 4) ÷ n = 180 x 13/14 : 180n - 360 = 180n x 13/14 : 180n/14 = 360 : n = 14 x 360/180 = 28
The polygon has 28 sides.
What else can I help you with?
How do you measure sides of a regular polygon if each interior angle is 120?
A regular polygon with each interior angle measuring 120 degrees is a hexagon.
If the measure of one interior angle of a regular polygon is 90 degrees how many sides does the polygon have?
The only regular polygon with an interior angle of 90 degrees is the square, which has four sides. Other polygons can have an interior angle of 90 degrees, but they would not be regular polygons.
What is the interior angle of a twenty-four-sided polygon?
If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.
How do you work out the exterior and interior angles of a regular polygon with W sides?
Exterior angle regular polygon = 360° ÷ number of sides = 360° ÷ W Interior angle regular polygon = 180° - exterior angle regular polygon = 180° - (360° ÷ number of sides ) = 180° - (360° ÷ W)
What is the number of sides to a polygon with an interior angle 20?
A regular polygon cannot have an interior angle of less than 60 degrees. If it is not regular, then you haven't a hope of answering this question.
How many sides does a regular polygon if its interior angles are 270?
No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more.
Which polygon has the largest interior angle?
The polygon with the largest interior angle is a regular polygon, specifically a regular polygon with the greatest number of sides. In a regular polygon, all interior angles are equal, and the formula for calculating the interior angle of a regular polygon is (n-2) * 180 / n, where n is the number of sides. As the number of sides increases, the interior angle also increases. Therefore, a regular polygon with a very large number of sides will have the largest interior angle.
If the exterior angle of a regular polygon is 20 what is the interior angle of this polygon?
160
What is the measure of each interior angle of a 18 sided regular polygon?
The interior angle of an octdecagon, an 18 sided regular polygon, is 160o.
A regular polygon has an interior angle measure of 168 What kind of polygon is it?
A regular polygon having an interior angle measure of 168o has 30 sides and is called a triacontagon.
What is the interior and exterior angle of a regular polygon?
Each exterior angle of a regular polygon with n sides is 360/n degrees. Each interior angle of a regular polygon is 180 - Exterior angle. A direct formula for the interior angle is 180*(n-2)/n degrees.
Work out the number of sides of a regular polygon with the interior angle of 178?
If each interior angle is 178 degrees then the regular polygon will have 180 sides.
How do you measure sides of a regular polygon if each interior angle is 120?
A regular polygon with each interior angle measuring 120 degrees is a hexagon.
What is the interior angle of a 50-sided polygon?
The interior angle of a regular polygon with x sides is 180(x-2)/x. As a result, each angle of a regular 50-sided polygon is 172.8.
What is the sum of the interior angles of a regular polygon if each angle measures 20 degrees?
There is no regular polygon with an interior angle of 20o. If the interior angle is 120o then there are six sides and the sum of the angles is 720o.
If the measure of one interior angle of a regular polygon is 90 degrees how many sides does the polygon have?
The only regular polygon with an interior angle of 90 degrees is the square, which has four sides. Other polygons can have an interior angle of 90 degrees, but they would not be regular polygons.
If the measure of an interior angle of a regular polygon is 140 how many sides does the polygon have?
If the measure of an interior angle of a regular polygon is 140o, the polygon is a nonagon (sometimes called an ennagon) having 9 sides.
