Problem C

Intersecting Triangles

\(\triangle ABC\) and \(\triangle PQR\) are equilateral triangles with vertices \(B\) and \(P\) on line segment \(MN\). The triangles intersect at two points, \(X\) and \(Y\), as shown.

If \(\angle NPQ = 75\degree\) and \(\angle MBA = 65\degree\), determine the measure of \(\angle CXY\).

**Theme: **Geometry & Measurement