Three of the interior angles of an n-sided polygon are 156° 117° and 135° andthe remaining interior angles are 123° eachFind the value of n

The sum of the interior angles of an n-sided polygon is given by the formula: Sum of interior angles = (n - 2) * 180° Let's denote the remaining interior angles as x°. We can set up the following equation based on the given information: 156° + 117° + 135° + (n - 3) * 123° = (n - 2) * 180° Simplifying the equation: 408° + (n - 3) * 123° = (n - 2) * 180° 408° + 123°n - 369° = 180°n - 360° 123°n - 180°n = -360° + 369° - 408° -57°n = -399° Dividing both sides by -57°: n = -399° / -57° n = 7 Therefore, the value of n is 7