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What polygon has a sum of exterior angles which is 15 times its interior angle sums?
Wiki User
∙ 12y ago
There can be no such polygon.
The sum of exterior angles of any polygon is 360 degrees.
If the sum of the exterior angles is 15 times the sum of the interior angles, then
the sum of the interior angles must be 360/15 = 24 degrees.
Now, the sum of the interior angles of a polygon with n sides is (n-2)*180 degrees
So (n-2)*180 = 24
That is, (n-2) = 24/180 = 0.133...
and so n = 2.133...sides
But n must be an integer and it must be greater than or equal to 3.
Wiki User
∙ 12y ago
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What are the interior and exterior angles of a regular polygon?
If the polygon has n sides, each exterior angle is 360/n degrees.The interior angle is 180 less exterior angle.
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.
Are Exterior and interior angles equal to 360?
No because an exterior angle and an interior angle of a polygon add up to 180 degrees but exterior angles around a polygon add up to 360 degrees
A regular polygon an exterior angle of 30 What is the size of the interior angle?
Exterior angles are supplementary with interior angles, so 180-30=150
What are the two interior angles called that are not adjacent to an exterior angle?
In a polygon there are no such angles.
How many degrees are in the sum of an angle and an exterior angle of a regular polygon?
360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360
What is the sum of interior and exterior angle of a polygon?
The sum of each pair of interior and exterior angles of a polygon is always 180 degrees.
What are interior and extrior angles?
Interior angles are angles formed by two adjacent sides on the inside of a polygon. An exterior angle is the supplement of the interior angle.
How many remote interior angles are there for each exterior angle?
For a polygon with n sides (n angles), there are (n - 1) remote interior angles for each exterior angle.
What is the exterior and interior angles of a regular polygon with 30 sides?
Exterior angle 12 degrees Interior angle 168 degrees
What is the exterior and interior angles of a polygon with 30 sides?
A regular polygon of 30 sides will each have an exterior angle of 12 degrees and an interior angle of 168 degrees.
Is the sum of the remote interior angles in a polygon equal to the exterior angle?
No.
