Question
Draw an angle of 45°, using a pair of compasses.

Answer


Steps of constructions:
  1. Draw a ray OA.
  2. With centre O and a suitable radius draw an arc meeting OA at E.
  3. With centre E and with same radius, cut the first arc firstly at F and then from F with same radius cut act at G.
  4. With centres F and G, with suitable radius, draw arcs intersecting each other at H.
  5. Join OH intersecting the first arc at L and produce it to C.
  6. With centre E and L and with suitable radius draw arcs intersecting each other at M.
  7. Join OM and produce it to B.
Then, $\angle\text{AOB}=45^\circ$

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