write a paragraph on exterior angle property 100-150 words.
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exterior angle noun
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Definition of exterior angle
1: the angle between a side of a polygon and an extended adjacent side
2: an angle formed by a transversal as it cuts one of two lines and situated on the outside of the line
Illustration of exterior angle
Illustration of exterior angle
ega, egb, fhc, fhd exterior angle 2
Examples of exterior angle in a Sentence
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It is known that the sum of the exterior angles of a convex polygon is always 360º. Since an exterior angle of a right angle is also a right angle, our four right angles would take up the entire 360º of the octagon’s exterior-angle measure.
The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. Remember that the two non-adjacent interior angles, which are opposite the exterior angle are sometimes referred to as remote interior angles.
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Interior and exterior angle formulas: The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.
If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° . The sum of the measures of the exterior angles is the difference between the sum of measures of the linear pairs and the sum of measures of the interior angles.