Find the number of sides of a regular polygon of each interior angle is 156°.
Answers
1ST MARK ME AS BRILLIANT
no. of side let it be : x
each interior angle : 156°
to find this the formula is 360° / (180° - 156°) = x
so according to Q.. we will 1st find exterior
so to find exterior angle we will do 180° - 156° =24
now the exterior angle had came now we have to find no. of sides so we will now again follow the formula 360° / 24° = 15
so no. of sides of a regular polygon : x = 24
ANS : THE NO. OF SIDES OF A REGULAR POLYGON WILL BE 24 WHEN EACH INTERIOR ANGLE IS 156°
IMPORTANT NOTE :
★ If we have to find no. of side of any polygon whose interior angle is given so it's formula is 360° / ( 180° - each interior angle given in Question.
AND
★ If we have to find no. of side of any polygon whose exterior angle is given so it's formula is 360° / each exterior angle given in Question.
hope it helped u
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