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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
What is the sum of angles in a 24 sided polygon?
Exterior angles: 360 degrees Interior angles: 3,960 degrees
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 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 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.
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.
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
What are the angles of a 24 sided polygon?
((180 x 24) - 360)/24 = 3960/24 = 165o
