Given that ABCD is a parallelogram, we know that opposite sides are equal in length and opposite angles are equal in measure.

Since Smkp = 4, we know that the measures of angles S, m, k, and p add up to 360 degrees.

Let's denote the angles in the parallelogram ABCD as follows:

So, we have:
S + m + k + p = 360

Since ABCD is a parallelogram, we also know that angle A is equal to angle C (S = k) and angle B is equal to angle D (m = p).

Therefore, our equation becomes:
S + m + S + m = 360
2S + 2m = 360
2(S + m) = 360
S + m = 180

Given that Smkp = 4, we have:
S + m + k + p = 4
180 + k + p = 4
k + p = 4 - 180
k + p = -176

So, the sum of the measures of angles k and p in the parallelogram ABCD is -176 degrees.