each interior angle of a regular polygon is 156 degree find the number of sides of polygon​

2 thoughts on “each interior angle of a regular polygon is 156 degree find the number of sides of polygon​”

1. Answer :

   • Number of sides of polygon is 15 sides

   Given :

   • Each interior angle of a regular polygon is 156⁰

   To find :

   • Number of sides of polygon

   Solution :

   Given, interior angle of polygon is 156⁰

   First we need to find the exterior angle

   As we know that,

   • Exterior angle = 180⁰ – interior angle

   》Exterior angle = 180⁰ – 156⁰

   》Exterior angle = 24⁰

   Hence , Exterior angle is 24⁰

   Now we have to find the number of sides of polygon:

   As we know that,

   • Number of sides of polygon = 360⁰/Exterior angle

   》360⁰/24⁰

   》15 sides

   Hence , Number of sides of polygon is 15 sides

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2. Answer:

   this si the answer

   Step-by-step explanation:

   The interior angle of a regular polygon is 156 deg. Hence each exterior angle is 180–156 = 24 deg. So the polygon has 360/24 = 15 sides

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