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How do you find the sum of interior angles of any regular angles?
Wiki User
∙ 11y ago
If you mean "of any regular flat closed circuit, like a triangle, square...etc" then the following works even if it isn't regular. Choose a point int the middle and draw lines from each corner to that point. If there are N sides you now have N triangles, with total angles N x 180 degrees. Subtract the angles round the point (ie 2x180) and you finish up with (N-2)x180 degrees.
Wiki User
∙ 11y ago
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Describe how you could find the angle sum of a regular polygon that has N sides?
Interior angles of any polygon: (N-2)*180 = sum of interior angles when N is the number of sides
A Figure with all of its interior angles congruent?
Any regular polygon has this property, as does any rectangle.
What is the sum of the interior angles of a regular octagon?
The interior angles of any polygon add up to the number of sides - 2, times 180 degrees. For an octagon this is 180 x 6 with is 1080 degrees, thus: The sum of the interior angles of a regular octagon is 1080 degrees
How would you find the measure of each interior angle of a hexagon?
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. The total is 720 degrees. There are six angles. 720/6 = 120
What is the total size of the angles in a regular quadrilateral?
The 4 interior angles of any quadrilateral always add up to 360 degrees
Describe how you could find the angle sum of a regular polygon that has N sides?
Interior angles of any polygon: (N-2)*180 = sum of interior angles when N is the number of sides
What is the exterior angles of a regular triangle?
The sum of the interior angles of any triangle is 180 degrees.
How do you find sum of interior measures for pentagon?
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
How do I get the degrees in the interior angles of a polygon?
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. To find an individual angle, divide that number by n.
What is the sum of the interior angles of a regular decagon?
1440 degrees. The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
How do you find the measure of an interior and exterior angle of a 15-gon?
Example: a regular 15-gon The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. 180 x 13 = 2340 There are fifteen angles. 2340/15 = 156 An interior angle of a regular 15-gon is 156 degrees. There are two ways to find the exterior angles. The interior and exterior angles add up to 180. 180 - 156 = 24. The exterior angles of any polygon add up to 360. 360/15 = 24
Is there a minimum number of acute interior angles that any polygon can have?
Although a triangle must have at least two acute interior angles, a square has four interior right angles and no acute angles. And as regular polygons have increasing numbers of sides, their interior angles get larger.
How do you find a angle in a polygon?
Example: a regular decagon (ten sides) The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. 180 x 8 = 1440 There are ten angles. 1440/10 = 144 An interior angle of a regular decagon is 144 degrees. There are two ways to find the exterior angles. The interior and exterior angles add up to 180. 180 - 144 = 36. The exterior angles of any polygon add up to 360. 360/10 = 36
Find the sum of the measures of the interior angles of an octagon?
ANY n-sided polygon has interior angles that sum to 180(n - 2) degrees. For an octagon this is 180 x 6 ie 1080 degrees (so the individual interior angles of a regular octagon are 135 degrees).
A Figure with all of its interior angles congruent?
Any regular polygon has this property, as does any rectangle.
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 sum of the interior angles of a regular octagon?
The interior angles of any polygon add up to the number of sides - 2, times 180 degrees. For an octagon this is 180 x 6 with is 1080 degrees, thus: The sum of the interior angles of a regular octagon is 1080 degrees
