First question:
When you bisect an angle, you create two new equal angles, both measuring half of the original angle. So, if the original angle was 52°, the two angles will be 52/2=26 degrees each.
Note: the picture is not very clear, and I'm not sure the original angle is 52°. It it's not, just divide by 2 whatever measure the angle is.
Second question:
Focus on triangles RQP and RSP:
- They are both right, because Q and S are right angles
- We are given QP=SP
- They share the side RP
So, they are congruent. This implies that angle SRP is 50° as well, and then
QRS = QRP+SRP = 50°+50°=100°