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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

1. Angles of Polygons

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Exercise 55 Page 483

Recall the Polygon Exterior Angles Sum Theorem.

72

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Recall the Polygon Exterior Angles Sum Theorem.

Polygon Exterior Angles Sum Theorem
The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360.

Our pentagon is regular, so the interior angles are all congruent. This means that their supplements, the exterior angles, are also congruent. Therefore, the measure of one exterior angle is 360 divided by the number of sides in a pentagon which is 5. 360/5=72

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Exercises p.479-483