In a regular polygon with n sides, the interior angle is 150^o. How many triangles can the polygon be divided into

In a regular polygon with n sides, the interior angle is 150^o. How many triangles can the polygon be divided into

Answers

In regular polygon, exterior angle + interior angle = 180^o

Therefore 180 - $\frac{360^o}{n}$ = 150^o

180^o - 150^o = $\frac{360^o}{n}$; 30^o = $\frac{360^o}{n}$

30n = 360 n = 12

n -2 triangles; 12 - 2 = 10

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johnmulu answered the question on March 6, 2017 at 09:26

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