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The interior angles of any n-sided polygon always total (2n - 4) right angles or 180n - 360 degrees. In this instance (180n - 360)/n = 172 ie 180n - 360 = 172n which simplifies to 8n = 360 so there are 360/8 ie 45 sides to your polygon.
Another method is based on the fact that the exterior angles are 360/n degrees. In this case 360/n = 8 (ie 180 - 172) so n = 45.
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How many sides does a polygon have with angles of 12 degrees?
Any polygon can have two interior angles of 12 degrees. No polygon can have all its interior angles of 12 degrees.
A polygon has interior angles that add up to 360?
Yes. The interior angles of a polygon add up to 360°.
Interior angles of polygon?
Interior angles of n-sided polygon total (2n - 4) right angles or 180n - 360 degrees.
Interior angles of a polygon?
Interior angles of n-sided polygon total (2n - 4) right angles or 180n - 360 degrees.
What is the formula for finding the sum of the interior angles of a polygon?
(number of sides-2)*180 = sum of interior angles of a polygon
