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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
