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What I Have Learned
Complete the sentences base on your understanding of the lesson
1. The interior and exterior angles of a polygon are related in such a way that____________
2. Learning the relationship between the interior and exterior angles of a polygon is important because________
What I Have Learned
Complete the sentences base on your understanding of the lesson
1. The interior and exterior angles of a polygon are related in such a way that____________
2. Learning the relationship between the interior and exterior angles of a polygon is important because________
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Answer:
1. A special rule exists for regular polygons: because they are equiangular, the exterior angles are also congruent, so the measure of any given exterior angle is 360/n degrees. As a result, the interior angles of a regular polygon are all equal to 180 degrees minus the measure of the exterior angle(s).
2. Any angle that is on the inside of a shape is called an interior angle. Any angle that is on the outside of a shape is called an exterior angle. An exterior angle is made by extending one of the lines of the shape beyond the intersection point. The image below shows an interior and an exterior angle.
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