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2016 WAEC Mathematics Theory Using ruler and a pair of compasses only,  (a) construct :  (i) \(\Delta\)XYZ such that...

Mathematics
WAEC 2016

Using ruler and a pair of compasses only, 

(a) construct : 

(i) \(\Delta\)XYZ such that |XY| = 10cm, < XYZ = 30° and < YXZ = 45°.

(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.

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Explanation

(a), (b)  

(c) < ZMY = 120°.


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