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If there a formula for finding the measure of an interior angle of a regular polygon?
Wiki User
∙ 14y ago
Yes there is. You find the sum of the interior angles and then divide by the number of angles. Since being regular tells us that every interior angle has the same measurement, this works.
Now to find the sum of the interior angles, let n be the number of sides, the the sum is
180 degrees (n-2)
For example, a triangle has 3 sides so n is 3 and the sum of its interior angles is 180(3-2) or 180 degrees
A square has 180(4-2) or 360 degrees as the sum of its interior angles.
A regular pentagon has 180(5-2)=180(3) degrees as the sum of the interior angles.
Back to the triangle, since the sum is 180 degree and there are 3 angles, each on has measure 60. Similarly for a square, 360 divided by 4 is 90 and each interior angle has measure 90.
Wiki User
∙ 14y ago
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What is the formula to find the interior angles of a polygon?
If the polygon is a regular polygon then all interior angels are equal to 180-(360/no of sides of the polygon)
Give the formulas for finding the number of sides of a regular polygon when given the measure of an interior angle?
180-interior angle = exterior angle 360/exterior angle = number of sides
The measure of each interior angle in a polygon is 120 What is the name of the polygon?
A regular hexagon.
If the sum of the interior angle of a polygon equals 4320 degrees what is the measure of each interior angle of the polygon?
Im stuck on that too :/
What is the polygon formed if the measure of interior angle is 1800?
If the interior angles add up to 1800 degrees then it is a 12 sided polygon.
Is there a formula for finding the measure of interior angle of a regular polygon?
Yes and it is: sum of interior angles/number of sides
What is the formula for finding the sum of an interior angle of a polygon?
(n-2)(180) use that formula to find the sum of the interior angles of a polygon in degree
What is the formula for finding the sum of the interior angles of a polygon?
(number of sides-2)*180 = sum of interior angles of a polygon
What is the formula in finding the measure of each interior angle of a polygon?
(n-2) x 180 = sum of interior angles (n-2) x 180 _________ = each interior angle n
What does the formula s-2 mean in geometry s being sides of a polygon?
It is the formula for finding the sum of the interior angles of a polygon:- (s-2)*180 = sum of interior angles
Why do you use the number 2 to find the sum of the interior angle of a polygon?
It is used in the formula for finding the sum of the interior angles of a polygon:- (n-2)*180 = sum of interior angles whereas 'n' is the number of sides of the polygon
What is the formula to find the measure of each interior angle of a regular polygon?
that's geometry so the formula to find the measure of each interior angle of a regular polygon is: Ia=stands for internal angle Ia=(n-2)180 ---------- n that's the formula.
What is the sum of the interior angle measures of a 15-sided polygon?
2340 degrees(formula= 180(s-2)*s=sidesTHAT^^^^ ANSWER IS WRONG.The formula for finding the measure of an interior angle of a polygon is180 (n-2)/n.SO, 180(15-2)/15180(12)/152160/15Your answer is....144 degrees.
What is the measure of the interior angles of a polygon with 14 sides?
the formula for the measure of the interior angles of a polygon is:180(n-2), where n is the number of sides. 180(14-2)=180x12=2160 degrees
What is the formula for finding the measure of interior angle of a regular polygon?
The exterior angles of any polygon add up to 360 degrees. So divide the amount of sides into 360 degrees and subtract your answer from 180 degrees to find the interior angle (180 degrees on a straight line)
What is the formula for finding the measure of an interior angle in a regular polygon?
The exterior angles of any polygon add up to 360 degrees. So divide the amount of sides into 360 degrees and subtract your answer from 180 degrees to find the interior angle (180 degrees on a straight line)
How many degrees are in the measure of an interior angles of a regular seven sided polygon?
A formula for this question is that the total measure of the interior angles of a polygon is 180 degrees multiplied by 2 less than the number of sides. For a seven sided polygon, this formula yields 180 X 5 = 900 degrees.
