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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 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.
How many sides does a regular polygon have if the measure of each exterior angle is equal to 15?
Sum of exterior angles = 360 degrees. If each one is 15 degrees then there must be 360/15 = 24 of them.
What is angle that exact 150 degrees?
The interior angles of a regular 12-sided polygon. Total angles 90(24 -4) ie 1800 degrees ie 12 x 150
What is the interior and exterior angle of a regular 15 sided polygon?
The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / nSubstituting with n=15, then the answer is thatthe interior angle = 12x13 =156The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 15, then the answer is that the exterior angle = 24
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
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 angles in a 24 sided polygon?
Exterior angles: 360 degrees Interior angles: 3,960 degrees
What is the exterior angle of a 15 sided polygon?
assuming it is a regular polygon: the total exterior angles of any regular polygon add up to 360° therefore 360/15=24°
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
What is the sum of all exterior angles for a 24 sided shape?
The sum of all exterior angles of any polygon, regardless of the number of sides, is always 360 degrees. Therefore, for a 24-sided shape, the sum of all exterior angles is also 360 degrees. This holds true for any polygon, whether it is regular or irregular.
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 interior angles on a 15 sided polygon?
24 degrees
What is the exterior angle of a regular 24 sided polygon?
Each exterior angle measures 15 degrees
What is the sum of the exterior angles in a 24 sided shape?
360 degrees is.
In what type of regular polygon is each interior angle equal to 165 degrees?
If interior angle is 165 then exterior must be 15.Exterior angles of regular n-sided polygon = 360/n.As 360/n = 15, n must be 24
How many sides does a regular polygon have it has exterior angles of 15 degrees?
Sum of exterior angles = 360 Number of equal angles = 360/15 = 24. So 24 sides.
