Respuesta :

mhanifa

Answer:

  • A. 38°

Step-by-step explanation:

According to picture:

  • ∠QPK ≅ ∠KPS, marked as same

On the other hand, according to definition of the parallelogram, adjacent angles are supplementary:

  • m∠PQR + m∠QPS = 180°

From the above two equations we get:

  • 76° + 2*m∠KPS = 180°
  • m∠KPS = 1/2(180° - 76°) = 1/2(104°) = 52°

The missing angle is complementary with ∠KPS:

  • m∠KSP = 90° - 52° = 38°

Correct choice is A