VOCABULARY  Polygon  Concave  Convex. 4.7 POLYGONS AND ANGLES Integ. Math.

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Presentation transcript:

VOCABULARY  Polygon  Concave  Convex

4.7 POLYGONS AND ANGLES Integ. Math

POLYGON- SUM THEOREM

 A parking lot is in the shape of polygon with 6 sides. A surveyor measures 5 angles. They measure: 56, 84, 138, 165, and 150. What is the measure of the remaining angle.  A playground has the shape shown in the figure. A surveyor measures 6 of the angles of the playground. Find the unknown measure. x

POLYGON- EXTERIOR ANGLE THEOREM  The sum of the measures of the exterior angles of a convex polygon, one angle at each vertex, is 360°

 Find the measure of each interior angle of a regular nonagon(9- sided polygon). Then find the measure of each exterior angle of a regular nonagon.  Find the measure of each interior angle of a regular octagon. Then find the measures of the exterior angles.

HOMEWORK  Pg #1-21, 29-32