Find the degree and the radian measure of exterior and interior angle of a rectangular septagon
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Degree
A septagon is a 7-gon. There are 5 triangles inside. (Because of 7-2=5.)
So the sum of interior degrees is 900°. (Because of 180° × 5.)
900/7° is one interior angle.
One exterior angle is 360/7°. (Because of 180° - 360/7°.)
Radian
Since 360 is 2π in radian, 900/7°=5/7π rad.
The exterior angle is 360/7°=2/7π rad.
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