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How many sides of a regular polygon with interior angles of 178?
Interior angles 178 so exterior angles 2. Number of sides of any regular polygon = 360/exterior angle You polygon has 180 sides. Bet you're glad you didn't have to sketch it!
Find the measure of each exterior angle of a regular polygon?
Exterior angles of ANY polygon add to 360 degrees. Individual angles are therefore 360/n where n is the number if sides. 72
What regular polygon has interior angle 177?
If interior angles are 177o then exterior angles are 3o. Exterior angle times number of sides is always 360 so the polygon has 120 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
What is the sum of the interior angles of a polygon is 900 What type of polygon is it?
For any regular polygon with number of sides n, the sum of the internal angles is equal to (n - 2) x 180. Therefore, the number of sides of a shape the sum of whose internal angles are equal to 900 is equal to (n - 2) x 180 = 900, therefore, n = (900 / 180) + 2 = 7. The number of sides the shape will have is 7, making it a heptagon (also known as a septagon). It is not necessarily regular however, because although the angles in a regular heptagon would add to 900 degrees, an irregular heptagon would also add to this number.
What is the name of the polygon with the smallest number of sides a regular polygon with obtuse angles can have?
triangel
What is the smallest number of sides a regular polygon with obtuse angles can have?
5
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.
How does a polygon have the same number of sides and angles?
i don't really get the "same number of sides" ----- the angles of a polygon are the same with other angles within the polygon, if it is a regular polygon, and there a formula for getting the total sum of angles which is 180X(N-2) where N is the number of sides.
Is it true if a polygon has odd number of angles the angles cannot be congruent?
No, it is not true that a polygon with an odd number of angles cannot have congruent angles. A polygon can have an odd number of angles and still have some or all of them be congruent. For example, a regular pentagon has five angles that are all congruent, and a polygon with an odd number of sides can also have pairs of congruent angles.
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 many sides does a polygon have with interior angles of 45 degrees?
22/3 sides.-- The smallest possible number of sides for a polygon is 3, in a triangle.If the triangle is regular, then each interior angle is 60 degrees.-- The next polygon is the quadrilateral, with 4 sides. If the quadrilateralis regular, then each interior angle is 90 degrees.-- We can see that as the number of sides increases, the interior angles get bigger.-- So the triangle is the polygon with the smallest interior angles.And those are 60 degrees, so a polygon with all45-degree interior anglesisn't possible. Some of them could be, but never all.
What is the total number of degrees on the interior angles of a regular 6 sided polygon?
A 6 sided polygon is called a Hexagon. The sum of the interior angles or a regular hexagon is 720 degrees.
If the polygon is regular what is the size of its interior angles?
equation for any regular polygon when n = number of sides: 180(n-2)/n
How will you get the sum of the angles of a regular polygon?
(number of sides-2)*180 = total sum of interior angles
Can a regular polygon be defined as a polygon that has a regular number of sides?
No; apart from the fact that "regular number" of sides does not mean anything. What numbers do you consider to be regular and why? In any case, a regular polygon is one which has all sides of equal length AND all angles of equal measure. A square is the only regular 4-sided polygon. A rectangle has equal angles but not sides, a rhombus has equal sides but not angles. All other quadrilaterals fail on both counts.
What is the inside angles of a polygon called?
The inside angles of a polygon are called "interior angles." The sum of the interior angles of a polygon can be calculated using the formula ( (n - 2) \times 180^\circ ), where ( n ) is the number of sides in the polygon. Each individual interior angle can be found by dividing the total sum by the number of angles (or sides) if the polygon is regular.
