Question

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

Answer 1

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

Answer 2

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