The degree measure of each exterior angle of a regular octagon is represented by the expression, x is equal to 7.
The sum of the exterior angles of any polygon is always 360 degrees. Since a regular octagon has 8 exterior angles, we can divide 360 degrees by 8 to find the measure of each exterior angle.
360 degrees ÷ 8 = 45 degrees
Now we can set up the equation:
7x - 4 = 45
To isolate the variable x, we can add 4 to both sides of the equation:
7x - 4 + 4 = 45 + 4
This simplifies to:
7x = 49
To solve for x, we can divide both sides of the equation by 7:
7x ÷ 7 = 49 ÷ 7
This simplifies to:
x = 7