Best Answer

Sum_interior_angles = (number_of_sides - 2) x 180o

= (15 - 2) x 180o

= 2340o

[A pentadecagon has 15 sides.]

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

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

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.

(number of sides-2)*180 = sum of the interior angles

Related questions

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.

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°

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)

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

The sum of the interior angles is 360.

No, the interior angles of a triangle sum to 180o The interior angles of a quadrilateral sum to 360o.

The sum of the interior angles of a quadrilateral is 360 degrees

The sum of the interior angles of a parallelogram is 360 degrees.

The sum of interior angle ( Sum-of-interior-angles-n-gon) of n-gon is:If we have a ,Then

Quindecagon or pentadecagona 15 sided pollygon is called a Pentadecagon, it has interior angles of 156 degrees each

Interior angles of a triangle have a sum of 180 degrees.