+12 Hi! I have this geometry question that I'm having a lot of trouble on. I just don't really know where to start. I would appriciate as much help as possible on the three parts of this question with work shown, not just an answer. I apologize for the crude diagram, I had to make it myself as the question is on paper. Also, this is my first time using LaTeX so I apologize if I do not do something right. Thanks!
"The diagram shows two pulleys with a belt wrapped snugly around the pulleys to that one pulley can drive the other. \(\overline {RS}\) is tangent to the circles at R and S, respectively. \(\overline {QT}\) is perpendicular to \(\overline {SP}\), and Q and P are centers of the circles. Let QR = 2 in., PS = 8 in., and PQ = 12 in.
a. Write a two-column proof (try as hard as you can, I know it's hard when typing) to show that QRST is a rectangle.
b. Find RS.
c. Find \(m\angle P.\)
I appreciate any help!
(Please excuse any spelling or grammar mistakes, English is not my first language.)
Here is a link to the diagram as I cannot figure out how to upload it:
https://ibb.co/qycYypN
