Question

interior angles of a polygon with x sides is 124 whereas the other x-1 angles are each equal to 142 find n

Answer 1

Answer:

9

Explanation :

the sum of the interior angles of a polygon of n sides is 180(n - 2).

124+(n-1)*142= 180(n-2)

124+142n-142 =180n-180*2

142n+124-142 =180n-360

142 n-18=180n-360

142n-18+360 =180n

142 n+342=180n

342=180 n-142 n

342=38 n

n= 342÷38

= 9