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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.
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 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.
Which regular polygon the measure of the exterior angle is twice the measure of the interior angle?
In a regular polygon, the measure of the exterior angle is related to the interior angle by the equation: exterior angle = 180° - interior angle. If the exterior angle is twice the measure of the interior angle, we can set up the equation: exterior angle = 2 × interior angle. Solving this gives us the equation: 180° - interior angle = 2 × interior angle, leading to 180° = 3 × interior angle, or interior angle = 60°. This corresponds to a regular hexagon, as it has interior angles of 120° and exterior angles of 60°.
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
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
