Question

ഒരു സമബഹുഭുജത്തിൻ്റെ ഒരു കോൺ 168° അതിന് എത്ര വശങ്ങളുണ്ട് ?​

Answer 1

Answer:

There are 30 sides in the given regular polygon whose interior angle is 168°       ( നൽകിയിരിക്കുന്ന സാധാരണ ബഹുഭുജത്തിൽ 30 വശങ്ങളുണ്ട്, അതിന്റെ ഇന്റീരിയർ ആംഗിൾ 168° ആണ്. )

Step-by-step explanation:

The only number that stays the same for the angles of all polygons is that the sum of the exterior angles is 360°.

If you know the size of an exterior angle  (θ)  in a regular polygon you can find the number of sides:

360° ÷  θ  =  number of sides                 ..(1)

If you know the number of sides (n)  you can find the size of each exterior angle of a regular polygon.

360°  ÷  n =  θ

We can find the exterior angle by subtracting 180° with the given interior angle, we get:

180°−  168° =  12°

We can now substitute the above value of θ  in (1), we get

⇒ 360° ÷ 12° = 30

∴ There are 30 sides in the given regular polygon whose interior angle is 168°.