128°
Because triangle QRS is isosceles, angles QSR and SQR are congruent. The three angles in a triangle must total 180°, and since mQRS is 38°, the sum of mQSR and mSQR must be 142°. Since they are congruent, both angles are 71°.
In triangle PQS, mQPS is 33° and mPSQ is 90°, meaning mSQP is 57°. (90+33=123; 180-123=57)
mPQR can be found by adding mPQS (57°) and mSQR (71°).
Therefore, mPQR=128°.
