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Interior angle of a pentadecagon

Updated: 11/18/2022
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Q: Interior angle of a pentadecagon
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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 an interior angle measure of a 15-gon?

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°


What is a 15 sided shape?

its a pentadecagon i.e, a polygon with 15 sides. in a regular pentadecagon each angle is of 156 degrees


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.


What is the intereor angle of a triangle?

An interior angle is any angle on the interior of the triangle.


What is the measure of a polygons interior angle?

It is: 180-exterior angle = interior angle


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


Which of these is the alternate interior angle of angle hge?

GEF is the alternate interior angle of angle hge.


What is an exterior angle of a triangle and how does the measure of an exterior angle relate to the interior angles?

Exterior angle+interior angle=180 degrees and 180-exterior angle=interior angle


What is the exterior and interior angle of a heptagon?

the interior angle is about 128.571428 the exterior angle is about 51.4285