Draw an angle of measure 45° and bisect it.

Steps of Construction-

1. Draw a ray OA


2. Taking O as centre and convenient radius, mark an arc, which intersects OA at X.



3. Taking X as centre and same radius, cut previous arc at Y. Taking Y as centre and same radius, draw another arc intersecting the same arc at Z.


4. Taking Y and Z as centers and same radius, draw two arcs intersecting each other at S. Join OS. Thus, SOA is required angle of 90°.



5. Draw the bisector of BOA. Hence, MOA = 45°


6. Draw the bisector of MOA. Hence,



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