The key here is to recognize that these are similar triangles, so their sides are all in the same ratios. How do we know they're similar? Well, they both have the same angle at P (I labeled it

Since the corresponding sides of similar triangles are always in the same ratio, we know that

*z*°), and we know angles*QTP*and*RSP*are also the same (the diagram says they're both*x*°). So their third angles also have to be the same (marked*y*° on the graph).Since the corresponding sides of similar triangles are always in the same ratio, we know that

*PT*/*PS*will be the same as*QT*/*RS*, or 8/10. 8/10 simplifies to 4/5, so our answer is (E).
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