Answer :

Steps of Construction:


1. Draw line segment AB.



2. With A as centre and any suitable radius draw an arc, cutting AB at C.



3. With C as centre and the same radius, cut the previously drawn arc at D.



4. With D as centre and the same radius, cut the arc at E.



5. With D as centre and the radius more than half DE, draw an arc.



6. With E as centre and the same radius draw another arc which cuts previous arc at F.



7. Join F. So, BAF = 90°



8. Now with C as centre and radius more than half of DC draw an arc.



9. With D as centre and same radius draw an arc which cuts the previous at G.



10. Join AG. Therefore, it is the bisector of BAF, i.e., 45°



11. Now with centre C and radius more than half of CD, draw an arc.



12. With centre D and same radius draw another arc which cuts the previously drawn arc at H.



13. Join AH.



Therefore, AH is the bisector of BAG.

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