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Q: How do you find out how many sides a shape has using the interior angle?
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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.


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.


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 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.


What is the interior angle of a pentagon?

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.


Do you have to measure the sides while measuring an angle?

When measuring an angle you have to measure the sides using a protractor.