(a) Using a ruler and a pair of compasses only, construct (i) a triangle XYZ in which /YZ/ = 8cm, < XYZ = 60^\circ and < XZY = 75^\circ. Measure /XY/; (ii) the locus \(l_{1}\) of points equidistant from Y and Z ; (iii) the locus \(l_{2}\) of points equidistant from XY and YZ. (b) Measure QY where Q is the point of intersection of \(l_{1}\) and \(l_{2}\).