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Why is the sum of the exterior angle measures of a convex polygon is always 360 degrees?
Wiki User
∙ 14y ago
It is because if you shorten the sides yet keep the angles the same size, the shape will eventually become a pinwheel and thus, because a circle is always 360 degrees, the outer angles will always be 360 degrees.
Wiki User
∙ 14y ago
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What is the sum of the measures of the exterior angles of a 23-gon?
The sum of the measures of the exterior angles of a polygon with any number of sides is always 360 degrees.
How many sides does a regular polygon have if the measures of each exterior angle equals 12 degrees?
The regular polygon whose exterior angle measure is 12 degrees, has 30 sides (360/12, since the exterior angles on any polygon always add up to 360 degrees).
What is the sum of the exterior angles of a 13 sided polygon?
The sum of the exterior angles is always 360 degrees.
What is the interior angle of a regular dodecagon?
Each interior angle measures 144 degrees* * * * *No! The sum of the exterior angles of a polygon is always 360 degrees - no matter how many sides, So the extrior angle of a regular dodecagon is 360/12 = 30 degrees. Since the interior and exterior angles are supplementary, the interior angle is 180-30 = 150 degrees.
About Approximately how many degrees are in the measure of an interior angle of a regular eight sided polygon?
For regular polygons, all the interior angles are the same measure, while the sum of the exterior angles is always 360 for any regular polygon. Use these facts and the fact that each interior/exterior angle pair has a sum of 180 to answer this question. 360 divided by 8 = 45. So each exterior angle of the figure measures 45. 180 - 45 = 135, so each interior angle measures 135 degrees.
What is the sum of the exterior angles of a polygon when measures 45 degrees?
The sum of the exterior angles of a polygon, whatever the measure of each one, is always 360 degrees.
What is the sum of the measures of the exterior angles of a 23-gon?
The sum of the measures of the exterior angles of a polygon with any number of sides is always 360 degrees.
What is the sum of the exterior angle measures for a regular hexagon?
Each exterior angle measures 60 degrees and the 6 angles add up to 360 degrees. Note that for any polygon their exterior angles always add up to 360 degrees.
What is the sum of the exterior angle measures os a regular decagon?
The exterior angles of any polygon always add up to 360 degrees
How many sides does a regular polygon have if the measures of each exterior angle equals 12 degrees?
The regular polygon whose exterior angle measure is 12 degrees, has 30 sides (360/12, since the exterior angles on any polygon always add up to 360 degrees).
What is the sum of the measurs of the exterior angles of a convex polygon with 17 sides?
360 degrees. The sum of the measures of the exterior angles any convex polygon will always be 360 degrees. The formula for finding the sum of the measures of the interior angles is 180(n-2) when n= the total number of sides the polygon has.
The sum of the exterior angles of a polygon always?
The exterior angles of a polygon always add up to 360 degrees
What is the sum of the measures of the exteroir angles of a decagon?
The exterior angles of any polygon always add up to 360 degrees.
What is the sum of the measures of a etxerior angles of a 20-gon?
The exterior angles of any polygon always add up to 360 degrees
What is the sum of the measures of the interior angles of the regular polygon if each exterior measures 120?
Hint: in a regular polygon interior plus exterior = 180o, always.
What is the relationship between the measure of a central angle of a polygon and the measures of an interior and an exterior angle of the polygon?
The interior angle and central angle are supplementary, that is they always add up to 180 degrees, while the exterior angle and the central angle will always be the same.
What is the sum of the measures of the exterior angles one at each vertex of a convex 140-gon A hexagon?
The exterior angles of any polygon always add up to 360 degrees
