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Is it possible to have a regular polygon with an interior angle of 156 degrees?
Yes. Pentadecagon (15-sided polygon)
What is the angle measure for each interior angle of a pentakaidecagon?
A pentakaidecagon (or pentadecagon) is a 15-sided figure, using the theorem:[180 x (n-2)]/n to find the angle measurement of each angle (where n is the number of sides) we get 156 degrees.
What is the sum of the interior angle measures of a 15 sided polygon?
Remember Exterior angle = 360 / No. of sides. Hence Exterior Angle = 360//25 = 24 degrees, It follows that the intertiot angle is 180 - 24 =156 degrees. There are 15 interior angles Hence 15 x 156 = 2340 degrees is the sum of the interior angles of a 'Pentadecagon'.
What is the sum of interior of a pentadecagon?
Sum_interior_angles = (number_of_sides - 2) x 180o = (15 - 2) x 180o = 2340o [A pentadecagon has 15 sides.]
How many sides does a regular polygon have if the measure of an interior angle is 156?
If the interior angle measures 156 degrees, this means that the exterior angle is equal to 180 - 156 = 24 degrees. Dividing this by the full 360 degrees of a circle, gives 360/24 = 15. The polygon therefore has fifteen sides. A fifteen-sided polygon is called a pentadecagon or pentakaidecagon.
