Polygon: Many sided figure Convex Convex vs. Nonconvex.

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Polygon: Many sided figure Convex Convex vs. Nonconvex

INVESTIGATE COPY the following table.table

INTERIOR MEASURES SUM of the INTERIOR Measures of Any Polygon (n – 2)180 o (4-2)180 o = 360 o (8-2)180 o = 1080 o

EXTERIOR ANGLES Sum of the measures of the EXTERIOR angles of any polygon = 360 o h + o + r + s + e = 360 o c + r + a + p = 360 o

Example 1. A polygon has 32 sides. Find (a) the sum of the measures of the interior angles and (b) the sum of the measures of the exterior angles, one angle at each vertex. (a) (b) (n-2)180 = (32-2)180 = (30)180 = 5,400 o 360 o

REGULAR POLYGON A polygon that is both equilateral and equiangular.

Example 2. A regular polygon has 12 sides. Find the measure of each interior angle. Find the measure of each exterior angle. (n-2)180 = (12-2)180 = (10)180 = 1,800 o 1,800/12 = 150 o Total exterior = /12 = 30 o

Partner Practice Page 104 Written Exercises #2, 4, 8 (draw the table),