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.
What is the sum of the exterior angles of a 23 gon
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).
The sum of the exterior angles is always 360 degrees.
The sum of the exterior angles of any polygon is always 360 degrees. Therefore, for a 24-sided polygon, each exterior angle would measure 360 degrees divided by 24, which equals 15 degrees.
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.
The sum of the exterior angles of a polygon, whatever the measure of each one, is always 360 degrees.
The sum of the measures of the exterior angles of any polygon, regular or irregular, is always 360 degrees. In a regular polygon with ten sides, each exterior angle measures 360 degrees divided by the number of sides, which in this case is 36 degrees. Therefore, the sum of the measures of the exterior angles of a regular decagon is 10 multiplied by 36 degrees, which equals 360 degrees.
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.
The exterior angles of any polygon always add up to 360 degrees
What is the sum of the exterior angles of a 23 gon
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).
The exterior angles of a polygon always add up to 360 degrees
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 exterior angles of any polygon always add up to 360 degrees.
The sum of a regular polygon's interior angles is always equal to (n-2) * 180, where n is the number of sides in the polygon. Given that one exterior angle measures 40 degrees, we can find the interior angle by subtracting 40 from 180 degrees (since the exterior and interior angles are supplementary) to get 140 degrees. So, the sum of the interior angles of the regular polygon is 140 * n.
The exterior angles of any polygon always add up to 360 degrees
Hint: in a regular polygon interior plus exterior = 180o, always.