The angles of a polygon are given by 2x, 5x, x and 4x respectively. The value of x is

Answer Details

The sum of the interior angles of a polygon with n sides is (n-2) times 180 degrees. Therefore, for a polygon with 4 sides, the sum of the interior angles is (4-2) times 180 degrees, which is 360 degrees. Using the given angles in terms of x, we can write the equation: 2x + 5x + x + 4x = 360 Simplifying this equation, we get: 12x = 360 Dividing both sides by 12, we get: x = 30 Therefore, the value of x is 30.