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If the measure of each interior angle of a regular polygon is 171 find the number of sides in the polygon?
Wiki User
∙ 11y ago
40 sides
Wiki User
∙ 11y ago
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How do you find a number of sides of a polygon with the measure of its interior angle?
If its a regular polygon then 180-interior angle and divide the answer into 360 which will give the number of sides of the polygon.
As the number of sides in a regular polygon increases what happens to the measure of an interior angle?
As the number of sides in a regular polygon increases, the angle increases. This occurs as a function where each interior angle measures (180*(n-2)) / n, where n is the number of sides.
What is the measure of each interior angle of a 12 sided regular polygon?
The measure of each interior angle of a dodecagon, which is a 12 sided regular polygon, is 150o. This is found in any polygon by multiplying 2 less than the number of sides by 180o and then dividing the product by the number of sides. A dodecagon interior angle is then 10 x 180o/12 = 150o.
If the measure of each interior angle of a regular polygon is 176 what is the number of sides of the polygon?
The equation for finding the interior angle measures of a regular n-gon is (n-2)*180/n. Thus, if this is set equal to 176 and solved for n, n is found to be 90. Therefore, a regular polygon with each interior angle measure equal to 176, has 90 sides.
How can you find the measure of each interior angle of a regular polygon?
(n-2)x180 N being the number of sides
How do you find a number of sides of a polygon with the measure of its interior angle?
If its a regular polygon then 180-interior angle and divide the answer into 360 which will give the number of sides of the polygon.
Describe the measure of an interior angle of a regular polygon as a function of the number of sides of the polygon verbally?
Each interior angle of a regular polygon has a measure that is equal to one hundred and eighty degrees times two less than the number of sides in the polygon.
If the measure of each interior angle of a regular polygon is 178 what is the number of sides of the polygon?
180 sides!
What is measure of one interior angle of the regular polygon?
180° - 360° / (number of sides)
The measure of each interior angle of a regular polygon is 144 degrees Find the number of sides of the regular polygon?
It will have 10 equal sides
The number of sides of a regular polygon is 7. Find the measure of each interior angle of the polygon?
a 7 sided polygon is heptagon and the interior angle of it is 128.57 degrees.
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
How is the measure of each interior angle related to the number of sides in a regular polygon?
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
Can a regular polygon's interior angles measure 40 degrees?
No. To elaborate, the smallest regular polygon, an equilateral triangle, has 60 degree interior angles. The next larger one, a square, has 90 degree interior angles. In fact, for any regular polygon, the interior angles measure 180*(n-2)/n degrees, where n is the number of sides. No polygon has less than 3 sides. Thus, no regular polygon can have interior angles less than 60 degrees.
What is the measure of the interior angle of a 12 sided regular polygon?
The measure of each interior angle of a dodecagon, which is a 12 sided regular polygon, is 150o. This is found in any polygon by multiplying 2 less than the number of sides by 180o and then dividing the product by the number of sides. A dodecagon interior angle is then 10 x 180o/12 = 150o.
How do you find the sum of angles in a n-sided polygon to give an expression for the measure of each interior angle of a regular n-gon?
It is: (number of sides -2)*180 = sum of interior angles If its a regular polygon then: sum of interior angles/number of sides = each interior angle
As the number of sides in a regular polygon increases what happens to the measure of an interior angle?
As the number of sides in a regular polygon increases, the angle increases. This occurs as a function where each interior angle measures (180*(n-2)) / n, where n is the number of sides.
