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How many sides would a polygon have whose interior angles are exactly 179 degrees?
Interior angles of any polygon with n sides always add up to 180(n-2) degrees.
If a polygon is a regular polygon with n sides, and each interior angle is 179 degrees, then its interior angles will add up to 179 n.
In both cases, you must get the same result for what the interior angles add up to. So:
179n = 180(n-2). Multiply out the 180
179n = 180n - 360, and subtract 180n from both sides to get
-n = -360, so therefore n = 360 and it would have 360 sides.
What else can I help you with?
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.
Is There 250 degrees in the sum of the interior angles of a polygon.?
There is no such polygon whose interior angles add up to 250 degrees.
What polygon has a sum on interior angles of 3060 degrees?
A 19 sided polygon has interior angles that add up to 3060 degrees.
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 polygon has an interior angle with a sum of exactly of 360 degrees?
The sum of the interior angles of a quadrilateral are 360 degrees
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.
Are there 300 degrees in the sum of the interior angles of a polygon?
No - the interior angles of a polygon must total at least 360 degrees.
Is There 250 degrees in the sum of the interior angles of a polygon.?
There is no such polygon whose interior angles add up to 250 degrees.
What polygon has a sum on interior angles of 3060 degrees?
A 19 sided polygon has interior angles that add up to 3060 degrees.
How many sides does a polygon have if the interior angles equal 180 degrees?
If all of the interior angles of the polygon add up to 180 degrees, then the polygon is a triangle.
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.
What is the sum of the measures in degrees of the interior angles of a 17 sided polygon?
The interior angles of a 17 sided polygon add up to 2700 degrees
How many sides does a regular polygon have if its interior angles are all 15 degrees?
The interior angles of a regular polygon must be 60 degrees or greater.
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 polygon has interior angles that measure 1080 degrees?
The interior angles of an octagon add up to 1080 degrees
