Simple Construction


   
 
Construction - 3
To construct angles of 60o, 120o and 30o
 
 
 
(i) Draw a line AB.
 
(ii) With A as centre, taking any suitable radius, draw an arc which cuts AB at P.
 
(iii) With P as centre and the same radius, cut the arc at Q.
 
(iv) From Q, with the same radius, cut the arc at R.
 
(v) Join AQ and produce it to C. Then
 
(vi) Join AR and produce it to D. Then
 
(vii) Take any radius greater than half of PQ.
 
(viii) Draw two intersecting arcs from points P and Q, with the above radius.
 
(ix) Join this point of intersection and point A. Produce the line to E.
 
(x) AE bisects
 
(xi) Hence .
 
 
     
   
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