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 haveS + 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 becomesS + m + S + m = 362S + 2m = 362(S + m) = 36S + m = 180
Given that Smkp = 4, we haveS + m + k + p = 180 + k + p = k + p = 4 - 18k + p = -176
So, the sum of the measures of angles k and p in the parallelogram ABCD is -176 degrees.
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:
Angle A = SAngle B = mAngle C = kAngle D = pSo, 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 = 36
2S + 2m = 36
2(S + m) = 36
S + m = 180
Given that Smkp = 4, we have
S + m + k + p =
180 + k + p =
k + p = 4 - 18
k + p = -176
So, the sum of the measures of angles k and p in the parallelogram ABCD is -176 degrees.