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How many sides does a regular polygon have if each exterior angle is 24 degrees?
Sum of exterior angles = 360 deg Number of exterior angles = 360/24 = 15 So it is a 15-sided polygon
What are the interior angles on a 15 sided polygon?
24 degrees
How many sides does a polygon have if the sum of the measures of the interior angles is 3960 degrees?
22 * * * * * NO. It is 24. The formula for an n-sided polygon is (n-2)*180 degrees which gives n-2 = 22. And then n = 24
What is the interior angles of a regular polygon with 24 sides?
180(n-2)/n 180(24-2)/24 180(22)/24 3,960/24 165 Thus, each angle in a regular polygon that has twenty four sides is 165 degrees, and the sum of all the angles is 3,960 degrees.
What do you call a 24-sided polygon?
The constructed polygon name for a 24-sided regular polygon is an icosikaitetragon.
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°.
How many sides does a regular polygon have if each exterior angle is 24 degrees?
Sum of exterior angles = 360 deg Number of exterior angles = 360/24 = 15 So it is a 15-sided polygon
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.
Why do you subtract 2 when calculating the interior degrees of a 24 sided polygon?
Basically when you have a 24 sided polygon you can split it up into 22 separate, non-overlapping triangles by drawing diagonals. Each triangle has 180 degrees, so the product, 22 times 180, gives you the sum of the interior angles of the 24 sided polygon.
What are the interior angles on a 15 sided polygon?
24 degrees
What is the sum of the interior angles if the exterior angles are 24?
The sum of the exterior angles is 360°; for a regular polygon this gives:sum_exterior_angles = number_of_sides × exterior_angle = 360°→ number_of_sides = 360° ÷ exterior_angle = 15For any polygon, the sum of the interior angles is given by:sum_interior_angles = (number_of_sides - 2) × 180°→ sum_interior_angles = (15 - 2) × 180°→ sum_interior_angles = 13 × 180° = 2340°This can be checked since: 2340° ÷ 15 = 156° for the interior angle of a regular 15 sided polygon, andinterior_angle + exterior_angle = 180°→ exterior_angle = 180° - interior_angle→ exterior_angle = 180° - 156° = 24° (as given in the question).
What are the angles of a 24 sided polygon?
((180 x 24) - 360)/24 = 3960/24 = 165o
How many sides does a polygon have if the sum of the measures of the interior angles is 3960 degrees?
22 * * * * * NO. It is 24. The formula for an n-sided polygon is (n-2)*180 degrees which gives n-2 = 22. And then n = 24
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 are the Size of exterior angles of a 15 sided polygon?
The exterior angles of any polygon add up to 360. 360/15 = 24
What is the sum of the exterior angles in a 24 sided shape?
360 degrees is.
What polygon has a sum of exterior angles which is 15 times its interior angle sums?
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.
