Saved Bookmarks
| 1. |
/The difference between the exterior angle ofa (n-1 sided regular polygon and antlsided regular polygon is 15° Find the value oln.Hint 360° 360- 15°]n-1 n +1 |
|
Answer» n-1 sided Polygon DATASize of each exterior angle = 360/(n-1)Size of each interior angle = 180-[360/(n-1)]==========================================n+1 sided Polygon DATASize of each exterior angle = 360/(n+1)Size of each interior angle = 180-[360/(n+1)]===========================================Equation: Difference = 9 degrees180-[360/(n+1)] - [180-[360/(n-1)] = 15°-(360/(n+1) + 360/(n-1) = 15°-1/(n+1) + 1/(n-1) = 1/24-----24(n-1)+24(n+1) = (n+1)(n-1)48= n^2-1n^2 = 49n = 7 hit like if you find it useful |
|