List of top Quantitative Aptitude Questions on Geometry - Angle Calculation (square and equilateral triangle)

\(ABCD\) is a square (vertices in order \(A\), \(B\), \(C\), \(D\)) and \(BCE\) is an equilateral triangle drawn on side \(BC\), with vertex \(E\) lying outside the square. What is the measure of angle \(DEC\)?