how do you find the sum of all the exterior angles of a quadrilateral?
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we find sum by using a formula that is 180-(2*4)
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a quadrilateral is defined as having four corners, the sum of the interior angles are equal to 360 degrees, and four edges. Each vertices consists of an internal angle and an external angle. The sum of the external angles is equal to 360-x + 360-y + 360- w +360-z. But x+y+w+z is equal to 360 degrees, so the sum of the external angles 4*360- (x+y+w+z) or 4*360–360, which is equal to 3*360 or 1080. As an example, the internal angles are each equal to 90 degrees, so each of the external angles is equal to 270 degrees. So, the sum of the external angles for a rectangle is 270*4 or 1080 degrees.
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