0
Each exterior angle of a regular polygon with n sides is 360/n degrees.
So, for a decagon, it would be 360/10 = 36 degrees.
Wiki User
∙ 12y ago
Add your answer:
Earn +20 pts
How do you work out exterior angle of an decagon?
You cannot. An exterior angle of a decagon can have any value.
What is the interior and exterior angle of a regular octagon?
To work this out, all the external angles of any shape add up to 360°, so all we need to do to work the external angle out is divide 360° by the number of sides giving us a sum of 360 divided by 8 sides = 45°; so now we have the exterior angle we can easily find the internal angle, we do this by subtracting the external angle which in the case of an octagon is 45° from 180° thus giving us 135°, of course this is only going to work on a regular shape with equal sides as an irregular shape is going to have different angles but will still total 360°.The interior angle of a regular octagon is 135° and the external 45°.By tash2010
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 work out the exterior angles of a pentagon?
Exterior angles of ANY regular n-sided polygon are 360/n degrees. Where n is 5 this gives 72 deg.
How do you work out the amount of sides o a exterior angle that is 10?
To work out the number of sides, this polygon has to be a regular polygon in which all the interior angles are the same A regular polygon has exterior angles of 10o, therefore it must have interior angles of 180o - 10o = 170o Total interior angles = (Number of sides - 2)x180o Therefore each interior angle = [(Number of sides - 2)x180o]/Number of sides n = number of sides 170o = [(n-2)x180o]/n 170no = 180no-360o 360o = 10no n = 360o/10o n = 36
How do you work out exterior angle of an decagon?
You cannot. An exterior angle of a decagon can have any value.
How do you work out the number of sides in a regular polygon that has an exterior angle?
With a regular polygon: 360/exterior angle = number of sides
How do you work out the exterior angle?
Measure it. There is no formula for an exterior angle unless you have a regular (or equiangular) polygon. And there is no evidence to suggest that that is the case.
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)
How do you work out the interior and exterior angles of a regular polygon?
If the polygon has n sides (or vertices) each exterior angle is 360/n. Each interior angle = 180 - exterior angle = 180 - 360/n
Work out the exterior and interior angles of a regular polygon with 8 sides?
Each exterior angle 45 degrees Each interior angle 135 degrees
How do you work out exterior angle for a triangle?
It is: 180-interior angle = exterior angle
How do you work out the amount sides a polygon has with only the exterior angle?
If it is a regular polygon then divide the exterior angle into 360 degrees to find the amount of sides it has because the exterior angles of any polygon add up to 360 degrees.
How do you work out how many sides a regular polygon has?
It depends upon what you know about the polygon:The namePolygons are normally named based on Greek numbers: Penta - 5Hexa - 6Hepta - 7Octa - 8Nona - 9Deca - 10Hendeca - 11Dodeca - 12The Hendecagon is sometimes referred to as a Undecagon.Triangles are 3 sided and quadrilaterals are 4 sided.The exterior angleThe sum of the exterior angles of a polygon sum to 360o. With a regular polygon, these are all the same, so divide 360o by the exterior angle and it will give you the number of sides. The interior angleFirst find the exterior angle of the polygon: since the exterior and interior angles of a polygon are supplementary, they sum to 180o, so subtract the interior angle from 180o to get the exterior angle; then use the method of the exterior angle above.
What regular polygon has a exterior angle of 24 degrees?
We know that the sum of the exterior angles of a regular polygon is 360°. Since the exterior angle is 24°, then 24°n = 360° divide both sides by 24°; n = 15 Thus a 15-sided regular polygon has an exterior angle of 24°. If you don't remember the above fact, you can work in this way: If the exterior angle is 24°, then the angle of polygon will be 156° (180 - 24). Since the sum of the angle of the polygon is equal to (n - 2)180°, then we have: 156° n = (n - 2)180° 156° n = 180°n - 360° subtract 156°n and add 360° to both sides; 360° = 24°n divide by 24° to both sides; 15 = n
How do you work out the exterior angle of a triangle?
Interior and adjacent exterior angles form a straight line so exterior angle = 180 - interior angle. If you are satisfied with this reply please consider awarding a Recommended Point to the responder.
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
