Answer: 96
The sum of the interior angles of a regular heptagon is equal to (n-2)180 degrees, where n is the number of sides of the polygon.
Since a regular heptagon has 7 sides, the sum of its interior angles is (7-2)180 = 720 degrees.
Therefore, the measure of each interior angle is 720 degrees / 7 = 104 degrees.
If the measure of an interior angle is (w + 8) degrees, then w + 8 = 104.
Solving for w, we get w = 96.