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Exterior Angle Theorem

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Q. Find the measure of each exterior angle of a regular polygon of'18 sides.

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Solution

Dear student,

$T h e s u m o f t h e e x t e r i o r a n g l e s o f a c o n v e x p o l y g o n i s 360 º . S i n c e a r e g u l a r p o l y g o n i s c o n v e x, t h a t n u m b e r w i l l d o . E a c h e x t e r i o r a n g l e t h e n i s \frac{360 °}{n} . h e r e n = 18 s o e x t e r i o r a n g l e = \frac{360 °}{18} = 20 ° t h u s t h e m e a s u r e o f e a c h e x t e r i o r a n g l e i s 20 °$

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