Answer: 33 degrees
Step-by-step explanation:
We can find angles PQS and PSQ by using the base angle theorem, which states that the base angles of an isosceles triangle are congruent. Subtracting 48 from 180 we get 132, which dividing by 2 we get 66 degrees.
Now we can use the exterior angle theorem, which states that an exterior angle of a triangle is equal to the sum of the two remote interior angles of the triangle. In this case, we are saying that ∠QSP= ∠QRS+∠RQS. Both of these angles are congruent because of the base angle theorem as well. Dividing 66 by 2 we get 33 degrees. Thus, m∠QRS=33°
