The value of x is 105°
The sum of the interior angles of a polygon is :
- (n - 2)180
- n = number of sides = 7
The sum of the angles ;
- 110 + 136 + 154 + 100 + 130 + 165 + x = 795 + x
Now we have ;
795 + x = (7 - 2) × 180
795 + x = 5 × 180
795 + x = 900
x = 900 - 795
x = 105
Hence, the value of x is 105 degrees