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1080°. Here's a formula: Total interior angles = (N-2)*180°. N is the number of sides. So with N = 8 (octagon) --> (8-2)*180° = 1080°.
To remember it, just think that any polygon can be sectioned into N triangles, all meeting in the middle (each with 180°). Add them up and you have N*180°, but the angles in the middle where they all meet is 360° (a circle), so subtract 360° (or 2*180°), to get (N-2)*180°.
Or you can draw triangles differently: pick any vertex, and draw (N-3) diagonals, which make (N-2) triangles. The 2 vertices adjacent will just be a line segments; the last one that you draw will split a quadrilateral into 2 triangles. So (N-2) triangles times 180°.
What else can I help you with?
What are the total number of degrees of all the interior angles of a regular octagon?
The sum of all the interior angles of a regular octagon is 360 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
How many right angles does an octagon?
An octagon has 8 sides, and the sum of the interior angles of any polygon can be found using the formula (n-2) * 180 degrees, where n is the number of sides. In the case of an octagon, the sum of the interior angles is (8-2) * 180 = 1080 degrees. Since all the interior angles of an octagon are equal, each interior angle measures 1080 / 8 = 135 degrees. A right angle measures 90 degrees, so an octagon has 135 / 90 = 1.5 right angles.
The number of interior angles of an octagon?
There are 8 of them.
What degree is an octagon?
A regular octagon has 8 sides with an Interior Angle of 135° and an Exterior Angle of 45°. The sum of interior degrees in any geometric shape is 180*(n-2) where n equals the number of sides. Accordingly for an octagon with n = 8, The sum of interior degrees is 1080
How many angles are in a octagon?
An octagon has eight sides, which means it also has eight angles. The sum of the interior angles of any polygon can be found using the formula (n-2) * 180 degrees, where n is the number of sides. For an octagon, this would be (8-2) * 180 = 1080 degrees. Each angle in a regular octagon measures 135 degrees.
How many angles does an octagon have?
An octagon has 8 angles. An octagon has the same number of angles as it does sides. Eight. All of the angles measure 135 degrees, and all the angles together are 1080 degrees.
How many angels does a octagon?
An octagon has eight sides and, correspondingly, eight angles. In a polygon, the sum of the interior angles can be calculated using the formula (n - 2) × 180 degrees, where n is the number of sides. For an octagon, this results in (8 - 2) × 180 = 1080 degrees, so it has eight angles, each measuring 135 degrees if they are all equal.
What is the sum of the interior angles of an octagon?
sum interior angles = (number of sides - 2) × 180°= (8 - 2) × 180°= 1080°The sum of the interior angles of an octagon is 1080°In a regular octagon, divide by 8 for each angle = 135°.
How do you find the angle in a regular octagon?
There's a really handy little formula. The total number of degrees in a polygon (the sum of the interior angles) is equal to (2n-4) right angles or (2n-4)x90 degrees. So for an octagon, the sum of the interior angles is 2x8-4 right angles = 16-4 right angles = 12 right angles or 12x90 degrees = 1080 degrees. To find one angle, divide this by 8 and you get 135 degrees.
How many degress does a octagon have?
An octagon has 1080 degrees total. You can find this by using the fact that the interior angles of a regular n-gon are (n-2)*180/n degrees. Multiplying that number by n gives the total number of degrees in the n-gon.
What is the sum of the interior angle of an irregular octagon?
The sum of the interior angles of any polygon can be calculated using the formula ( (n - 2) \times 180^\circ ), where ( n ) is the number of sides. For an octagon, which has 8 sides, the sum of the interior angles is ( (8 - 2) \times 180^\circ = 6 \times 180^\circ = 1080^\circ ). Therefore, the sum of the interior angles of an irregular octagon is 1080 degrees.
