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Using ruler and compasses only, construct the quadrilateral ABCD in which ∠BAD = 45°, AD = AB = 6cm, BC = 3.6cm, CD = 5cm. Measure ∠BCD.

Rectilinear Figures

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Answer

Steps of construction:

  1. Draw a line segment AB = 6 cm
  2. At A, construct ∠BAX = 45°.
  3. From AX, cut off AD = 6 cm.
  4. With B as centre and radius 3.6 cm, draw an arc.
  5. With D as centre and radius 5 cm, draw an arc to meet the previous arc at C.
  6. Join BC and DC. Then, ABCD is the required quadrilateral.
Using ruler and compasses only, construct the quadrilateral ABCD in which ∠BAD = 45°, AD = AB = 6cm, BC = 3.6cm, CD = 5cm. Measure ∠BCD. Rectilinear Figures, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

On measuring ∠BCD, it is 63°.

Hence, ∠BCD = 63°.

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