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.