Question

Does anyone know how to do this? asap!

Answer 1

• A. 38°

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