EXTERIOR ANGLES OF A POLYGON Polygons. An exterior angle of a regular polygon is formed by extending one side of the polygon. Angle CDY is an exterior.

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Presentation transcript:

EXTERIOR ANGLES OF A POLYGON Polygons

An exterior angle of a regular polygon is formed by extending one side of the polygon. Angle CDY is an exterior angle to angle CDE Exterior Angle + Interior Angle of a regular polygon =180 0 D E Y B C A F 1 2 Polygons

Polygons

120 0 Polygons

120 0 Polygons

360 0 Polygons

60 0 Polygons

60 0 Polygons

Polygons

Polygons

Polygons

90 0 Polygons

90 0 Polygons

90 0 Polygons

Polygons

No matter what type of polygon we have, the sum of the exterior angles is ALWAYS equal to 360º. Sum of exterior angles = 360º Polygons

In a regular polygon with ‘n’ sides Sum of interior angles = (n -2) x Exterior Angle + Interior Angle =180 0 Each exterior angle = /n No. of sides = /exterior angle Polygons

Let us explore few more problems Find the measure of each interior angle of a polygon with 9 sides. Ans : Find the measure of each exterior angle of a regular decagon. Ans : 36 0 How many sides are there in a regular polygon if each interior angle measures ? Ans : 24 sides Is it possible to have a regular polygon with an exterior angle equal to 40 0 ? Ans : Yes Polygons