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Extend any one side.
The angle formed by that extended side and the adjacebt side is the Exterior Angle.
To find this angle.
Ext. Ang. = 360 / N ( Number of sides of the polygon)
Hence
EXT.ANG. = 360 /24 =
EXT.Ang. = 15 degrees.
Hence the Interiod Angle = 180 - Ext. Angle.
INT. Ang. = 180 - 15
INT. Ang. = 165 degrees.
NB A 24- gon is named as 'Icositetragon'.
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What is the the exterior angles of a 24 sided polygon?
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.
What is the sum of the interior angles of a 24 gon?
Sum of interior angles of ANY n-sided polygon is (2n - 4) right angles. Where n = 24 this becomes 44 x 90 degrees ie 3960 degrees.
In a regular polygon the ratio of an exterior angle to the measure of an interior angle is 2 to13 how many sides does the polygon have?
Interior angle 156 degrees Exterior angle 24 degrees 360/24 = 15 sides
What is the measure of each exterior angle of a 15 sided regular polygon?
24 degrees. Here's why: The sum of the deviations from a straight line at the angles must add up to 360 degrees (full circle). In a regular polygon, each deviation is equal. So, in this case, each deviation is 360 / 15 = 24 degrees. Since the exterior angle is the supplement of the interior angle (they add up to 180), this is the exterior angle.
What is the interior angle of a regular 24 sided shape?
The formula for finding the interior angle of any shape is: [180*(n-2)]/n, with n being the number of sides you have.In your case, you have a 24-gon. Plug it in for your n, and you have[180*(24-2)]/24 -> [180*22]/24 -> 3960/24 -> 165So the interior angle would be 165o.
What is the sum of the measures of the exterior and interior angles of a convex 24-gon?
The sum of the exterior angles of any convex polygon is always 360 degrees. The sum of the interior angles of any convex n-gon is (n-2) * 180 degrees, because any convex n-gon can be represented as n-2 triangles, and the sum of the interior angles of a triangle is 180 degrees.
How do you find the measure of an interior and exterior angle of a 15-gon?
Example: a regular 15-gon The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. 180 x 13 = 2340 There are fifteen angles. 2340/15 = 156 An interior angle of a regular 15-gon is 156 degrees. There are two ways to find the exterior angles. The interior and exterior angles add up to 180. 180 - 156 = 24. The exterior angles of any polygon add up to 360. 360/15 = 24
What is the sum of an interior angle measure of a 15-gon?
Assuming that this is a regular pentadecagon, the 360° of the exterior offset angles are spread evenly, so are 24° each. This means the interior angles are 180-24=156°
What are the sum of the exterior angles of a 24- gon?
360 degrees
What is the sum of the interior angles of a 24-gon?
4,320
What are the sum of the interior angles of a 24-gon?
The interior angles add up to 3960 degrees
What is the measure of the exterior angles be if a polygon had 15 side and the interior angles were 156 degrees?
24 degrees providing that it is a regular polygon. (And since each interior angle is 156 deg, it IS a regular 15-gon.) 360/15 = 24 degrees
What is the sum of the interior angles of 24-gon?
It is: (24-2)*180 = 3960 degrees
How many interior angles does a 24-gon have?
24 and they add up to 3960 degrees
What tdo the interior and exterior angles of a 24 sided polygon add up to?
Interior angles using the formula: (24-2)*180 = 3960 degrees Exterior angles: 360 degrees
Measures of an interior angle and an exterior angle of a regular 15-gon.?
Each interior angle is 156 degreesEach exterior angle is 24 degrees
What is the the exterior angles of a 24 sided polygon?
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.
