Question

if interior angle of a polygon is 13 how many sides does it have. step - wise tell ​

Answer 1

Answer:

let number of sides be n,

then sum of all the interior angles can be given as:

S =(n-2) × 180°. ......... (1)

Also,

S = 13n. .................(2)

from (1)&(2),

(n-2)×180= 13n

or, 180n-360= 13n

or, 180n-13n = 360

or, 167n = 360

or, n = 360/167 sides