Question

if in a regular polygon inner angle are double of its outer angle find the sum of all inner angles of the polygon​

Answer 1

Answer:

sum of inner angles would be 180 degree if it is a triangle

Answer 2

Step-by-step explanation:

In a regular polygon the inner angle is double the outer angle.

Let the outer angle be x

so the inner angle is 2x

Sum of the inner and outer angle=180°

=> x+2x=180°

=> 3x=180°

=> x=180°/3=60°

As the outer angle is 60° ,so number of sides of the polygon=360°/60°=6

So sum of the inner angles of the polygon=6×120°=720° .

hope it will help you.

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