Answer:
x = 15
Explanation:
The sum of the measures of the exterior angles of a pentagon is 360 degrees. An exterior angle of a polygon is formed by extending one of its sides and is equal to the sum of the measures of the interior angles on the opposite side of that side.
We can set up an equation to represent the sum of the measures of the exterior angles of the pentagon in terms of x, as follows:
2x + 4x + 5x + 6x + 7x = 360
Solving this equation for x, we get:
24x = 360
Dividing both sides of the equation by 24, we get:
x = 15
Therefore, the value of x is 15. This means that each of the exterior angles of the pentagon measures 15 degrees.