CK-12 Geometry-Concepts

(Marvins-Underground-K-12) #1

6.2. Exterior Angles in Convex Polygons http://www.ck12.org


5.



  1. The exterior angles of a quadrilateral arex◦, 2 x◦, 3 x◦,and 4x◦.What isx?


Find the measure of each exterior angle for each regular polygon below:



  1. octagon

  2. nonagon

  3. triangle

  4. pentagon

  5. 50-gon

  6. heptagon

  7. 34-gon
    14.ChallengeEach interior angle forms a linear pair with an exterior angle. In a regular polygon you can use two
    different formulas to find the measure of each exterior angle. One way is^360

    n and the other is 180


◦−(n−^2 )^180 ◦
n
(180◦minus Equiangular Polygon Formula). Use algebra to show these two expressions are equivalent.
15.Angle PuzzleFind the measures of the lettered angles below given thatm||n.
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