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The formula for the size of the interior angle for a regular polygon is 180°(n-2)/n, where n is the number of edges, i.e. a whole number. If we set this equal to 80° then we get 180°(n-2)/n=80°
180°n-360°=80°n
100°n=360°
n=3.6
which isn't a whole number. So no regular polygon can have an interior angle of size 80°.
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Can a regular polygon's interior angles measure 40 degrees?
No. To elaborate, the smallest regular polygon, an equilateral triangle, has 60 degree interior angles. The next larger one, a square, has 90 degree interior angles. In fact, for any regular polygon, the interior angles measure 180*(n-2)/n degrees, where n is the number of sides. No polygon has less than 3 sides. Thus, no regular polygon can have interior angles less than 60 degrees.
What is the interior angle measure if a 16 sided polygon?
The interior angles of a 16 sided polygon add up to 2520 degrees If it's a regular polygon then each interior angle measures 157.5 degrees
If a regular polygon has interior angles that measure 720 degrees how many sides does the polygon have?
6
How many sides does a regular polygon have with one interior angle measuring 140 degrees?
If the interior angle = 140 degrees, then the exterior angle = 180 degrees - 140 degrees = 40 degrees. So the number of sides is 360 degrees / 40 degrees = 9 sides (a nonagon).
If the exterior angle of a regular polygon is 108 degrees how many sides does the polygon have?
That's true if the interior angles are 108 degrees, but a regular polygon cannot have exterior angles of 108 degrees.
