Sum_interior_angles = (number_of_sides - 2) x 180o
= (15 - 2) x 180o
= 2340o
[A pentadecagon has 15 sides.]
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The sum of the interior angles of any polygon is equal to (n - 2) x 180 degrees. in this case, (15 - 2) = 13 x 180 = 2340 degrees.Therefore, the sum of the interior angles of a 15-sided figure (a pentadecagon) is 2340 degrees.
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'.
Yes. Pentadecagon (15-sided polygon)
The sum of the interior angles is 360.
The sum of the four interior angles of a trapezoid is 360 degrees.