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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 one interior angle of a regular polygon is 108 how many sides does the regular polygon have?
To find the number of sides of a regular polygon, you can use the formula: Number of sides = 360 degrees ÷ Measure of each interior angle. In this case, if one interior angle is 108 degrees, the regular polygon has 360 ÷ 108 = 3.33 sides. Since a polygon cannot have a fractional number of sides, we round down to the nearest whole number. Therefore, the regular polygon has 3 sides, which makes it an equilateral triangle.
If the measure of each interior angle of a regular polygon is 171 find the number of sides in the polygon?
40 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
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
Which polygon has the largest interior angle?
The polygon with the largest interior angle is a regular polygon, specifically a regular polygon with the greatest number of sides. In a regular polygon, all interior angles are equal, and the formula for calculating the interior angle of a regular polygon is (n-2) * 180 / n, where n is the number of sides. As the number of sides increases, the interior angle also increases. Therefore, a regular polygon with a very large number of sides will have the largest interior angle.
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.
