Use the formula "total degrees= 180x(n-2), where n= number of sides of the figure. So, 8x180=1440 degrees, divided by 10 angles=144.
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The final part of the above answer is only true if all the angles of the decagon are equal. But there is no justification for assuming that the angles are all equal. In fact, they can have any value in the range (0, 360) degrees with the only restriction being that they add up to 1440 degrees.
999999
Subtract the interior angle from 180
128.571428 repeating
8100
that's geometry so the formula to find the measure of each interior angle of a regular polygon is: Ia=stands for internal angle Ia=(n-2)180 ---------- n that's the formula.
A decagon is a polygon with 10 sides. By using the interior and exterior postulates, you can find the angle measures, which happen to be 144 and 36 degrees respectively.
To find the interior angle of any polygon. Exterior Angle = 360 / n ( the number of sides) Interior angle = 180 - exterior angle. So for a decagon ( 10 sides) Ext angle = 360 / 10 = 36 Int angle = 180 - 36 = 144.
Oh, dude, a regular decagon has 10 sides, so each minor arc in the circle would be formed by connecting two consecutive vertices of the decagon. Since there are 10 vertices, there will be 10 minor arcs, each measuring 36 degrees. So, like, each minor arc would have a measure of 36 degrees. Easy peasy!
Find any straight side of the decagon. Move along it until it joins another side. That is where an angle is. An angle of a decagon can have any measure between 0 and 360 degrees (except 180 degrees).
Its interior angles are: (10-2)*180 = 1440 degrees If its a regular 10 sided polygon then each interior angle is: 1440/10 = 144 degrees
360/10 = 36 degrees
Use a protractor
Decagon is 10 sided figure. Internal angles of 10 sided figure is (2 x 10 - 4) right angles = 16 x 90 degrees, hence one angle is (16 x 90)/10 = 16 x 9 = 144 degrees
Each interior angle measures 162 degrees.
999999
Subtract the interior angle from 180
They are all 60 degrees.