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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 a polygon?
Interior angles of n-sided polygon total (2n - 4) right angles or 180n - 360 degrees.
Interior angles of 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
What is the sum of the measure of the interior angles of a regular polygon if each interior angle measures 172?
7740 degrees
Each interior angle if a regular polygon measurses 172 degrees how many sides does the polygon have?
The easiest way to solve this is to use the exterior angles of the polygon. The sum of an exterior angle and interior angle is 180o. Also the sum of all the exterior angles of a polygon is 360o. As the polygon is regular, all the interior angles are the same and all the exterior angles are the same. So, for an interior angle of 172o the exterior angle is 180-172 = 8o. The sum of all the exterior angles is 360o so how many 8o make up 360o? 360/8=45. Thus the polygon with interior angles of 172o has 45 sides.
Is it possible for the interior angles of a regular polygon to measure 8 degrees?
No. If the interior angle is 8 degrees then each exterior angle must be 172 degrees. Therefore the polygon must have 360/172 approx 2.1 sides. A fractional side is not possible.
What is a polygon with all interior angles congruent?
A polygon with all interior angles congruent Is known as a regular polygon.
What is a polygon with all interior angles called?
If all of its interior angles are equal then it is a regular polygon
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°.
How many side does a regular polygon have with an interior angle of 30?
The smallest regular polygon, an equilateral triangle, has interior angles of 60. A square has interior angles of 90. There can't exist a regular polygon with interior angles of 30.
Interior angles of a polygon?
Interior angles of n-sided polygon total (2n - 4) right angles or 180n - 360 degrees.
Interior angles of polygon?
Interior angles of n-sided polygon total (2n - 4) right angles or 180n - 360 degrees.
Is the sum of the interior angles of a convex polygon the same as a non-convex polygon?
No. In a convex polygon the sum of the interior angles is (n-2)*180 deg where n is the number of interior angles. In a non-convex polygon this is not necessarily true.
What is interior angles?
The angles between adjacent sides of a polygon that are interior to the polygon. If the polygon is convex, the interior angles are always less than 180 degrees. If it is concave, at least one interior angle will be greater than 180 degrees.
