find the measure of each interior angle of a regular polygon of 12 sides

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Solution

Dear Student,

$T h e f o r m u l a f o r k n o w i n g o n e i n t e r i o r a n g l e o f a r e g u l a r p o l y g o n i s : (n - 2) \times \frac{180}{n}, w h e r e n = n o . o f s i d e s . I n t h e q u e s t i o n t h e n o . o f s i d e s i s 12 . T h e n : (12 - 2) \times \frac{180}{12} = 10 \times \frac{180}{12} = 5 \times 30 = 150 ° . A n s$

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