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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.
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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.
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!
If the measure of each interior angle of a regular polygon is 171 find the number of sides in the polygon?
40 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
What is measure of one interior angle of the regular polygon?
180° - 360° / (number of sides)
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.
