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What is the sum of the exterior angle of a polygon with 14 sides?
Wiki User
∙ 14y ago
If the polygon is regular then it will fit inside a circle therefore the exterior angles will sum to 360
each exterior angle will be 360/14 = 25.71
which makes each interior angle 180-25.71=154.29
which makes the sum of interiors 14 x 154.29 = 2160.06
Wiki User
∙ 14y ago
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A convex polygon has 7 sides and one angle at each vertex Whats is the sum of exterior angles?
The sum of the exterior angles of a convex polygon which has sides and one angle at each vertex is 360 degrees.
A convex polygon has 10 sides and one angle at each vertex what is the sum of the measure of its exterior angle?
The exterior angles of a polygon always total 360 degrees. That doesn't even depend on how many sides the polygon has.
How many sides has a regular polygon if each interior angle is 168?
The sum of the exterior angles of a polygon is 360o. For a regular polygon, these are all equal. For an interior angle of 168o the exterior angle is 180o - 168o = 12o Therefore number of sides = 360o / 12o = 30.
If the exterior angle of a regular polygon equals 72 degrees what is the shape of the polygon?
The sum of all exterior angles of a polygon is 360 degrees. In a regular polygon, all of the exterior angle are equal, so there must be 360/72=5 sides of the polygon, which makes it a pentagon.
A regular polygon has an exterior angle of measure 18 how many sides does the polygon have?
It has 20 sides. 360/18= 20. (: You use 360 because that's the sum of all exterior angles.
What is exterior angle sum theorem polygon?
No matter how many sides a convex polygon has, the sum of its exterior angles is 360°.
A convex polygon has 7 sides and one angle at each vertex Whats is the sum of exterior angles?
The sum of the exterior angles of a convex polygon which has sides and one angle at each vertex is 360 degrees.
How do you find the exterior angle of a polygon?
360/number of sides 180 times the number of sides the polygon has then minus 360. This gives the total sum of the exterior angles. Then to get the angle of one exterior angle divide it by the number of sides the polygon has.Very easy when you know the formula!
How do you find the sum of an exterior angle if you have the sides?
The sum of the exterior angles of a 2D planar polygon is always 360 degrees.
Is it possible for the interior angle of a regular polygon to be 154?
No. The sum of the exterior angles of a polygon sum to 360o For a regular polygon, they are all the same size ⇒ dividing 360o by the exterior angle gives the number of sides. Interior angle = 154o ⇒ exterior angle = 180o - 154o = 26o ⇒ number of sides = 360o ÷ 26o = 1311/13 sides But a polygon must have a whole number of sides ⇒ 154o cannot be the interior angle of a regular polygon.
How many degrees are in the sum of an angle and an exterior angle of a regular polygon?
360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360
What is the measure of an exterior angle of a regular polygon with 36 sides?
The sum of the exterior angles of a polygon = 360360 / 36 = 10 degrees
What is the sum of the exterior angle of a polygon with 57 sides?
The exterior angles of any polygon always add up to 360 degrees.
If the exterior angle of a regular polygon is 36 degrees how many sides does it have?
The sum of the exterior angles of a regular polygon equal 360° . If one such angle measures 36° then the polygon has 360/36 = 10 sides.
What is the exterior angle sum of a trapezoid?
The exterior angle sum of ANY plane polygon (ie 2-dimensional figure with straight sides) is 360 degrees.
If a exterior angle measure 45 degrees how many sides does it have?
If the question is: If the exterior angle of a regular polygon is 45 degrees, how many sides does the polygon have? then the answer is:the sum of the exterior angles of any convex polygon is 360so 360/45 = 8
What is the sum exterior angle of a 36 sided polygon?
The sum of the exterior angles of any polygon is 360 degrees. If the polygon is regular then each exterior angle is 360 divided by the number of sides, so in this case each angle will be 10 degrees.
