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Construct a quadrilateral PQRS where PQ = 3.5 cm, QR = 3.5 cm, ∠P = 60°, ∠Q = 105° and ∠S = 75°.

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Steps of construction:

  1. Draw PQ = 3.5 cm.
  2. At P make an angle of 60° with the help of compass.
  3. At Q draw the angle of 105° with the help of protractor. Again by taking Q as centre, draw an arc of 3.5 cm which intersects the line segment at R.
  4. At R again draw an angle of 120°.

i.e. 360° – (60° + 105° + 75°) 

= 360° – 240° = 120°

which will intersect the arm of the angle 60° at S.

Hence, PQRS is the required quadrilateral.

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