Answer
See the picture below:
Work Step by Step
By using a compass mark an arc to intersect the sides of $\angle MRP$. Now with those two points as centers, mark off two arcs with equal radii to intersect at point $C$. Connect this point with R to get the angle bisector. Now we repeat this procedure two times, once with $\angle MRS$ and after that, with $\angle SRP$.
