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What is the interior and exterior angles of a 24- gon?
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'.
What is the the exterior angles of a 24 sided polygon?
Each exterior angle of a n-gon is 360/n degrees. So for a 24-gon each one would be 15 degrees.
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.
How many sides does a regular polygon have if each of its interior angles are 165?
It will have 24 sides
What is the area of a triangle if angle a equals 42 degrees angle b equals 87 degrees and angle c equals 24 degrees?
A triangle with interior angles of 42, 87 and 24 degrees doesn't exist because the angles add up to 153 degrees whereas the interior angles of any triangle always add up to 180 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 sum of the interior angles of 24-gon?
It is: (24-2)*180 = 3960 degrees
What is the sum of the measures of the interior angles of a convex 24-gon?
(24-2)times by 180
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.
What is the sum of the interior angle measures of a convex 24-gon?
The interior angles of a 24-agon add up to 3960 degrees.
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
How many interior angles does a 24-gon have?
24 and they add up to 3960 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 the interior angles in a 24 sided shape?
The sum of the interior angles of a polygon is 2n - 4 right angles, where n is the number of sides. For a 24 sided shape this gives (2 x 24) - 4 = 44 right angles = 3960°.
What is the measure of 1 angle of a regular 24-gon?
Exterior angle is 360/24 ie 15o so interior angle is 180 - 15 ie 165o. Another method is to use the formula "(2n - 4) right angles", which is the sum of the interior angles of an n-sided polygon. In this case n = 24 so total of the interior angles is (48 - 4) x 90 which is 3960o. Dividing this by the number of interior angles, 24, also gives 165o.
