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Question

Construct a parallelogram ABCD such that l(BC) = 7 cm, m∠ABC = 40°, l(AB) = 3 cm.

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Solution

Steps of Construction:

Step 1: Draw AB = 3 cm.

Step 2: Draw ∠ABX = 40°.

Step 3: With B as centre and radius 7 cm, draw an arc cutting the ray BX at C.

Step 4: With C as centre and radius 3 cm, draw an arc.

Step 5: With A as centre and radius 7 cm, draw an arc cutting the previous arc at D.

Step 6: Join AD and CD.



Here, ABCD is the required parallelogram.

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