The sum of the exterior angles of any polygon is 360o. For a regular polygon, they are all the same, so 360o divided by the size of exterior angleo will give you how many sides the polygon has.
The interior and exterior angles of a polygon are supplementary and so sum to 180o.
So given the internal angle, subtract from 180o and then divide into 360o and you will have the number of sides.
number of sides = 360o / 36o = 10 (a decagon).
reader:
ext.a.=180-140=40
n. of s.=360/40=9
Thanks a lot!
A regular polygon cannot have an internal angle of 10 degrees and any irregular polygon can.A regular polygon cannot have an internal angle of 10 degrees and any irregular polygon can.A regular polygon cannot have an internal angle of 10 degrees and any irregular polygon can.A regular polygon cannot have an internal angle of 10 degrees and any irregular polygon can.
The smallest internal angle possible for a regular polygon is 60 degrees. So either the angle is not 12 degrees or it is not an internal angle.
Each internal angle would be 180*(n-2)/n degrees where n is the number of sides in the polygon.
With a regular polygon: 360/exterior angle = number of sides
For a regular polygon the internal angle between two sides is (180 - (360/n)) degrees where n is the number of sides. A regular polygon is one where all side lengths and angles are the same.
A regular polygon cannot have an internal angle of 10 degrees and any irregular polygon can.A regular polygon cannot have an internal angle of 10 degrees and any irregular polygon can.A regular polygon cannot have an internal angle of 10 degrees and any irregular polygon can.A regular polygon cannot have an internal angle of 10 degrees and any irregular polygon can.
The number of sides of a regular polygon is 360 divided by the size of the exterior angle. The external angle is 180 - the internal angle. So for a regular polygon with an internal angle of 135 we get the following. 360 / (180 - 135) = 360 / 45 = 8 sides
The smallest internal angle possible for a regular polygon is 60 degrees. So either the angle is not 12 degrees or it is not an internal angle.
That regular polygon would have 9 sides.
Each internal angle would be 180*(n-2)/n degrees where n is the number of sides in the polygon.
For a regular polygon the internal angle between two sides is (180 - (360/n)) degrees where n is the number of sides. A regular polygon is one where all side lengths and angles are the same.
With a regular polygon: 360/exterior angle = number of sides
The sum of the internal angles of an n-sided polygon is (n-2)*180 degrees. So, for a regular polygon, each internal angle is (n-2)*180/n degrees.
you add the other 3 internal angles together and take the answer away from 180 and the number that is left is your answer.
The sum of the internal angles of an n-sided polygon is (n-2)*180 degrees. So, for a regular polygon, each internal angle is (n-2)*180/n degrees.
A regular polygon will tile it if its internal angle divides 360 degrees.
162 degrees