Question 1181982
Here's the completed proof:

1.  ∠QPS ≅ ∠TPR.   Given

2.  m∠QPS = m∠TPR.    Definition of congruence

3.  m∠QPS = m∠QPR + m∠RPS.     Angle Addition Postulate
    m∠TPR = m∠TPS + m∠RPS.       Angle Addition Postulate

4.  m∠QPR + m∠RPS = m∠TPS + m∠RPS.            Substitution (Substituting step 2 into step 3)

5.  m∠QPR = m∠TPS.        Subtraction Property of Equality (Subtract m∠RPS from both sides)

6.  ∠QPR ≅ ∠TPS.    Definition of congruence