# Problem of the Week Problem D Many Ways to Get There

Rectangle $$PQRS$$ has $$QR=4$$ and $$RS=7$$. $$\triangle TRU$$ is inscribed in rectangle $$PQRS$$ with $$T$$ on $$PQ$$ such that $$PT=4$$, and $$U$$ on $$PS$$ such that $$SU=1$$.

Determine the value of $$\angle RUS+\angle PUT$$.

There are many ways to solve this problem. After you have solved it, see if you can solve it a different way.