2.4 angle properties in polygons

key idea....

• you can prove properties of angles in polgons using other angle properties that have already been proved

need to know

• the sum of the measures of the interior angles of a convex polygon with N sides can be expressed as 180 degrees(n-2)


• the measure of each interior angle of a regular polygon is 180 (n-2)

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n

• the sum of the measures of the exterior angles of any convex polygon is 360 degrees

ex: if a polygon has 15 sides what is the sum of the interior angles

answer: 15-2=13

13x180=2340

2340/15=156

answer is 156

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