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Sum_interior_angles = (number_of_sides - 2) x 180o

= (15 - 2) x 180o

= 2340o

[A pentadecagon has 15 sides.]

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Q: What is the sum of interior of a pentadecagon?
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Related questions

What is the sum of the interior angles for a 15 sided figure?

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.


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Assuming that this is a regular pentadecagon, the 360° of the exterior offset angles are spread evenly, so are 24° each. This means the interior angles are 180-24=156°


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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'.


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Yes. Pentadecagon (15-sided polygon)


What does a pentadecagon look like?

In geometry, a pentadecagon (or pentakaidecagon) is any 15-sided, 15-angled, polygon. A regular pentadecagon has interior angles of 156°, and with a side length a, has an area given by: A= 15/4 * a²* cot π/15 = (15a²)/8 (√3 + √15+ √2* √(5+√5)) ≈ 17.6424 a²


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