It has become obvious that the Shapes category was in way over its head with all sorts of geometrical problems. So, the hard-core Geometry problems will now reside here, where they will fit in much better.
PQR is an acute angled triangle whose circumcenter and the orthocenter are respectively located at X and Y. The length of the side RP is greater than length of the side PQ.
PY is extended to intersect the side QR at S and, ST is drawn perpendicular to XS such that ST intersects the side PQ at T.
Determine the measure of the Angle RQP, given that Angle SYT = 70o.
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