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If you name the degree of the angle d, then the exterior angle is 180 - d. The exterior angles have to add up to 360, a full circle to get back to where you started. So if there are nsides and n angles,
n(180-d) = 360
Solving for d, you get
180 n - nd = 360
-nd = 360 - 180n
-d = 360/n - 180
and then
d = 180 - 360/n
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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.
A regular polygon is 171 degrees how many sides does the polygon have?
no a regular polygon has 360 degrees and it can have 4 or more sides
Which regular polygon has interior angles that measure about 152.3 degrees each?
A 13 sided regular polygon
What is the sum of the angles in a nine sided polygon?
If this 9 sided polygon is a regular polygon, then the sum of its angles is:(n - 2)180 degrees = (9 - 2)180 degrees = 7 x 180 degrees = 1,260 degrees.
What is the name of polygon that has 40 degrees exterior angle?
Providing that it is a regular polygon then it is a nonagon which has 9 sides
