Using ruler and a pair of compasses only,
(a) construct :
(i) \(\Delta\)XYZ such that |XY| = 10cm, < XYZ = 30^\circ and < YXZ = 45^\circ.
(ii) locus, \(l_{1}\), of points equidistant from Y and Z.
(iii) locus, \(l_{2}\), of points parallel to XY through Z.
(b) Locate M, the point of intersection of \(l_{1}\) and \(l_{2}\).
(c) Measure < ZMY.
Verified Correct Answer: .
Step-by-Step Mathematical Solution
(a), (b)
(c) < ZMY = 120^\circ.
Source: Myschool Past Questions Archive (Record #52473)