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Draw an angle of measure 45° and bisect it. - Mathematics

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Question

Draw an angle of measure 45° and bisect it.

Answer in Brief
Diagram
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Solution

The below given steps will be followed to construct an angle of 45º and its bisector.

  1. ∠POQ of 45º measure can be formed on a line l by using the protractor.
  2. Draw an arc of a convenient radius, while taking point O as centre. Let it intersect both rays of angle 45º at point A and B.
  3. Taking A and B as centres, draw arcs of radius more than `1/2`AB in the interior of angle of 45º. Let those intersect each other at C. Join OC.
    OC is the required bisector of 45º angle. 

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