Draw ∠ABC of measure 105° and bisect it. - Geometry

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Draw ∠ABC of measure 105° and bisect it.

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Solution

Steps for construction:-

  1. Draw BC = 5 cm (any)
  2. Place the centre of the protractor on B along the base line BC
  3. Using protractor construct m∠ABC = 105°.
  4. Draw an arc with centre at B and any fixed radius.
  5. Mark the points of intersection of the arc with the arms as P and Q.
  6. Keeping the same radius and with centres P and Q, draw arcs.
  7. Mark the point of intersection of the arcs as D
  8. Join BD. BD is the angle bisector of ∠ABC.

Concept: Basic Geometric Constructions
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2014-2015 (March) Set B
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