(360) / (180 - n) n= interior angle in this case it will work like this: 360/(180-120) 360/(60) 6, so the number of sides is six.
The measurement of an interior angle of a pentagon depends on whether the pentagon is a "regular pentagon". The sum of the measures of the interior angles of any polygon can be calculated using the formula (n-2)180, where n = the number of sides. If the pentagon is a regular pentagon, then all of the interior angles are congruent (i.e. : 144 degrees). Interior angle is the inside angle of any angular object. A triangle for instance has three outside angles and three interior angles, the angles of the points from the inside.
a circle is 360 degrees. so whatever exterior angle u have u can subtract it from 360 to see what the interior angle is!
It is a triacontagon, or 30-sided shape.The formula for one interior angle of a regular n-sided polygon is 180(n-2)/nwhere 180 (28) / 30 = 168*You can QUICKLY and EASILY find the answer using the formula for one exterior angle : it is 360/n360/30 = 12 and the interior angle is 180-12 = 168.The algebraic equation is(180-168) n = 360
I can answer this if the question concerns Penrose tiling using "kite" and "dart" tiles. The "kite" is a quadrilateral whose four corners have angles of 72, 72, 72, and 144 degrees. The "dart" is a non-convex quadrilateral whose four interior angles are 36, 72, 36, and 216 degrees. If however if the questioner want to determine an unknown angle in of a general kite quadrilateral (two sides of length a and two sides of length b, not a parallelogram) when the length of all sides and one angle is known, then the equation [which is too complex for me to easily transcribe] can be found in the Geometry Atlas http://www.geometryatlas.com/entries/153 I can answer this if the question concerns Penrose tiling using "kite" and "dart" tiles. The "kite" is a quadrilateral whose four corners have angles of 72, 72, 72, and 144 degrees. The "dart" is a non-convex quadrilateral whose four interior angles are 36, 72, 36, and 216 degrees. If however if the questioner want to determine an unknown angle in of a general kite quadrilateral (two sides of length a and two sides of length b, not a parallelogram) when the length of all sides and one angle is known, then the equation [which is too complex for me to easily transcribe] can be found in the Geometry Atlas http://www.geometryatlas.com/entries/153
Sum of interior angles of any polygon is 180 degrees.Another Answer:-The interior angles of a polygon with 33 sides add up to 5580 degrees using the formula (33-2)*180 = 5580
To find the number of sides ( n ) of a polygon using its interior angle ( A ), you can use the formula for the interior angle of a regular polygon: ( A = \frac{(n-2) \times 180}{n} ). Rearranging this equation, you get ( n = \frac{360}{180 - A} ). By substituting the known value of the interior angle ( A ), you can calculate the number of sides ( n ) of the polygon.
for a polygon you use order of operations with this equation: [# of side subtracted by 2] multiply by 180= your answer
interior angle = (sides - 2) * 180 / sides sides * interior angle = 180 * sides - 360 sides * (interior angle - 180) = -360 sides = -360 / (interior angle - 180) sides = 360 / (180 - interior angle) So, for 144 degrees: sides = 360 / 36 = 10
A decagon is a polygon with 10 sides. By using the interior and exterior postulates, you can find the angle measures, which happen to be 144 and 36 degrees respectively.
The sum of all the interior angles of any octagon is 1080 degrees, so that means that each angle is 135 degrees. You can find the measure of all the interior angles of any ploygon by using this equation: (number of sides in the polygon subtracted by 2) all multiplied by 180.
We have the interior angle 144∘ . We can find the number of sides using the formula as follows. Thus, the polygon has 10 angles and 10 sides.
The interior angle of a hexadecagon (a polygon with 16 sides) can be calculated using the formula for the interior angle of a regular polygon: ((n - 2) \times 180° / n), where (n) is the number of sides. For a hexadecagon, this is ((16 - 2) \times 180° / 16), which simplifies to (14 \times 180° / 16 = 157.5°). Thus, each interior angle of a regular hexadecagon is 157.5 degrees.
The sum of the interior angles of a polygon can be calculated using the formula ( (n - 2) \times 180 ), where ( n ) is the number of sides. To find the number of sides for a polygon with an interior angle sum of 2520 degrees, we set up the equation: ( (n - 2) \times 180 = 2520 ). Solving for ( n ), we find ( n - 2 = 14 ), so ( n = 16 ). Therefore, the polygon with an interior angle sum of 2520 degrees is a 16-sided polygon, also known as a hexadecagon.
A regular polygon with interior angles of 144 degrees has 10 sides. Using the fact that a regular n-gon has interior angles of degree (n-2)*180/n, you can solve for the number of sides fairly easily.
The size of an angle in a polygon depends on the number of sides the polygon has. The sum of the interior angles of a polygon can be calculated using the formula ( (n - 2) \times 180^\circ ), where ( n ) is the number of sides. To find the measure of each interior angle in a regular polygon (where all angles are equal), divide the total sum by the number of sides. For example, a triangle has a total interior angle sum of ( 180^\circ ), while a quadrilateral has ( 360^\circ ).
In a regular 10-sided polygon, each interior angle measures 144 degrees. This can be calculated using the formula: (n-2) x 180 / n, where n is the number of sides. The exterior angle of a regular polygon is always supplementary to the interior angle and can be calculated by subtracting the interior angle from 180 degrees. Therefore, the exterior angle of a regular 10-sided polygon would be 36 degrees.
The measure of an interior angle of a regular pentagon can be calculated using the formula ((n - 2) \times 180^\circ / n), where (n) is the number of sides. For a pentagon, (n = 5), so the interior angle measures ((5 - 2) \times 180^\circ / 5 = 108^\circ). Therefore, each interior angle of a regular pentagon measures 108 degrees.