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Mathematics

Construct a trapezium ABCD in which AB is parallel to DC, AB = 6.4 cm, ∠A = 60° and ∠B = 75°.

Rectilinear Figures

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Answer

Steps of construction:

  1. Draw a line AB = 6.4 cm.

  2. With A as center, construct an angle of 60° such that ∠YAB = 60°.

  3. With B as center, construct an angle of 75° using a protector such that ∠XBA = 75°.

  4. Make a straight line MN which is parallel to AB.

  5. The line cut the line XB at C and YA at D.

Construct a trapezium ABCD in which AB is parallel to DC, AB = 6.4 cm, ∠A = 60° and ∠B = 75°. Chapterwise Revision (Stage 1), Concise Mathematics Solutions ICSE Class 9.

Hence, ABCD is required trapezium.

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