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How many sides in regular n-gon whose sum of interior angles is 1080?
sum of interior angles = (n-2)180=1080 1080/180=n-2 6=n-2 8=n
What is the sum of of the measure of angles in a 11gon?
The sum of the internal angles is 180*(11 - 2) = 180*9 = 1620 degrees. The sum of the external angles is 360 degrees - irrespective of the number of sides.
What is the sum of the interior angles of a regular polygon with 27 sides?
The sum of the interior angles of a polygon with n sides is (n-2)*180 degrees. Here, n = 27, so the sum of the interior angles is (27-2)*180 = 25*180 = 4500 degrees.
How do you find the sum of the measure of interior angles?
(number of sides - 2)*180 = total sum of interior angles
What is the sum of all of the angles inside a polygon?
Here is the formula- (Number of sides -2) x180 degrees = angle sum. The sum of the interior angles inside of a polygon will be 180*(n-2) degrees, where n=number of sides of the polygon. Example: a triangle has 3 sides; therefore, the sum of the angles inside will be equal to 180*(3-2)=180*(1)=180 degrees.
What is 2 angles whose sum is 180?
They are supplementary angles that add up to 180 degrees
What is a supplementery angle?
supplementary angles, are 2 angles whose sum is 180 degrees
What is the sum of the angles of a polygon with 102 sides?
The sum of the interior angles is (102-2)*180 = 18,000 degrees.The sum of the interior angles is (102-2)*180 = 18,000 degrees.The sum of the interior angles is (102-2)*180 = 18,000 degrees.The sum of the interior angles is (102-2)*180 = 18,000 degrees.
How many degrees are in a polygon with N sides?
The interior angles sum to 180*(N - 2) degrees.The interior angles sum to 180*(N - 2) degrees.The interior angles sum to 180*(N - 2) degrees.The interior angles sum to 180*(N - 2) degrees.
What is the sum of angles in octagon?
Sum of angles in a regular polygon = (#sides - 2) * 180. Sum of Octagon angles = (8-2) * 180 = 1080
How many sides in regular n-gon whose sum of interior angles is 1080?
sum of interior angles = (n-2)180=1080 1080/180=n-2 6=n-2 8=n
What is the sum of the angles on a hexagon?
Sum of angles in a polygon is (n -2)180. Hexagon has six sides. So the sum of angles is (6- 2)180. (4)180 =720
What is the interior sum of an octagon?
The sum of the interior angles of a regular polygon is found with the formula: (n-2)180. For a regular octagon with 8 sides, the sum of the interior angles would be: (8-2)180 = 1080 degrees. This only works for regular polygons whose sides and angles are congruent.
If the sum of the interior angles of a polygon is 5040 degrees then how many sides does it have?
sum interior angles = (number of sides - 2) × 180° → number of sides = sum interior angles ÷ 180° + 2 = 5040° ÷ 180° + 2 = 30
What is the sum of the measures of the interior angles of a 20-gon?
Sum of the angles of a regular polygon = (#sides - 2) * 180. Sum of 20-gon angles = (20-2) * 180 = 3240
Triangle EFG has angles whose measures are in the ratio 2 4 9 What are the measures of the angles?
The sum of the angles is 180 deg 2 + 4 + 9 = 15 2/15 * 180 = 24 4/15 * 180 = 48 9/15 * 180 = 108 The angles are 24, 48 and 108 deg
If the sum of the interior angles of a polygon is 6840 how many sides does it have?
sum interior angles = (number of side - 2) × 180° → number of sides = sum interior angles ÷ 180° + 2 = 6840° ÷ 180° + 2 = 40 It has 40 sides.
