Problem C

All Squared Up

Ziibi drew a square. Starting at one corner and moving around the square, he labelled the vertices \(J\), \(K\), \(L\), and \(M\), in order. He drew points \(P\) and \(Q\) outside the square so that both \(\triangle JMP\) and \(\triangle MLQ\) are equilateral.

Determine the measure, in degrees, of \(\angle MPQ\).

**Theme:** Geometry