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How many sides does a regular polygon have if the measure of one interior angles is 144?
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
How do you find the amount of sides of a shape using it's interior angle?
for a polygon you use order of operations with this equation: [# of side subtracted by 2] multiply by 180= your answer
What is the measure of an angle of 15 side shape?
A 15 sided shape's total number of degrees can be found using the formula (x-2)*180, where x is the number of sides. Using this we find that a 15 sided shape's total degrees is 2340. Divide that number by 15 to get the degrees of each interior angle. It comes out to be 156 degrees.
What is the interior and exterior angle for a regular decagon?
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.
What is interior angle of a hexadecagon?
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.
How many sides does a regular polygon have if the measure of one interior angles is 144?
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
How do you find the amount of sides of a shape using it's interior angle?
for a polygon you use order of operations with this equation: [# of side subtracted by 2] multiply by 180= your answer
What is the measure of an angle of 15 side shape?
A 15 sided shape's total number of degrees can be found using the formula (x-2)*180, where x is the number of sides. Using this we find that a 15 sided shape's total degrees is 2340. Divide that number by 15 to get the degrees of each interior angle. It comes out to be 156 degrees.
Equation on how to find no of sides using interior angle 120?
(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.
What is the interior and exterior angle for a regular decagon?
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.
How many sides does a regular polygon have if each angle measures 144 degrees?
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.
What is interior angle of a hexadecagon?
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.
How many sides does a polygon have when the measure of each interior angle is 144?
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.
What is the interior and exterior angle a regular 10 sided polygon?
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.
What are the 3 trig ratios and how do they work?
A right angle triangle has three sides and three interior angles one of which is 90 degrees. The names of its sides are the adjacent the opposite and the hypotenuse and using the 3 trig ratios we can find the interior angles or lengths of the sides depending on the information given.Tangent angle = opposite/adjacentSine angle = opposite/hypotenuseCosine angle = adjacent/hypotenuseIf we are given the lengths of 2 sides we can work out the angles with the above ratios.If we are given a length and an angle we can work out the lengths of the other 2 sides by rearranging the above ratios.
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 formula used to calculate the number of sides in a polygon using its angle measures?
Let S be the sum of the measures of all the interior angles, in degrees. Then the number of sides is S/180 + 2.
