A geometry problem by Akhitha Babu
Lines \(AB, GH\) and \(EF\) are parallel to each other. Lines \(GF, BH\) and \(CD\) are also parallel to each other. Also the lines \(BC, CH\) and \(DE\) are equal in length. Lines \(GF\) and \(EF\) are perpendicular to each other. If \(\angle GHI= 30^\circ\), what is \(\angle JCD\)?