Question

The sum of angles of 4 polygon is x° find the sum of angles of the polygon with one side is more and if one side is less​

Answer 1

$\mathbf{\color{purple}{\huge{✮}}}\mathbf{\blue{\huge{A}}}\mathbf{\color{aqua}{\huge{N}}}\mathbf{\green{\huge{S}}}\mathbf{\color{yellow}{\huge{W}}}\mathbf{\orange{\huge{E}}}\mathbf{\red{\huge{R}}}\mathbf{\color{maroon}{\huge{✮}}}$

Sum of angles of polygon with n sides =(n−2)×180

o

But, the sum of the angles of a polygon should be a multiple of 180°

2220 o =180 o ×12+60 o

⇒ 2220 o + 120 o = 2340 o

⇒(x−2)= 1802340

⇒x−2=13 o

⇒x=15

Therefore, the number of sides of the polygon is 15.

$\huge{\underline{\boxed{\purple{{★ Hence \: Verified ★}}}}}$