Can someone please help me find angle measure of PER, angle measure of PFS, and length of PS. The angle bisectors of triangle EFG are ES, FS, and GS. They meet at a single point S. (In other words, S is the incenter of triangle EFG.)
Suppose QS=18, GS=23, angle measure of QGR=44 degrees, and angle measure of PES=52 degrees.
Find the following measures.
Note that the figure is not drawn to scale.

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