Task 206

The task

In the diagram, if $\triangle ABC$ and $\triangle PQR$ are equilateral, then what is the measure of $\angle CXY$ in degrees? [asy] import cse5; size(8cm); draw((-0.8, 0)--(1.5, 0)); pair b = (0, 0); pair p = (0.75, 0); pair a = dir(180 - 65); pair c = dir(55); pair q = shift(p) * (1.7 * dir(75)); pair r = shift(p) * (1.7 * dir(60 + 75)); draw(a--b--c--cycle); draw(p--q--r--cycle); label("$B$", b, S); label("$P$", p, S); label("$R$", r, NW); label("$Q$", q, NE); label("$A$", a, W); label("$C$", c, E); label("$X$", IP(r--p, a--c), NE); label("$Y$", IP(r--p, c--b), 2 * E); label("$65^\circ$", b, W + NW+ NW); label("$75^\circ$", p, 0.5 * E + NE + NE); [/asy]