Q186Short answer
Construct a trapezium ABCD in which AB||DC, ∠A = 105°, AD = 3 cm, AB = 4 cm and CD = 8 cm.
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∠A + ∠D = 1800 1050 + ∠D = 1800 ∠D = 75 Steps of construction 1. Draw AB = 4 cm D 8 cm C 2. Draw AX such that o Y ∠BAX = 105 3 cm 3. Mark a point D on AX such that AD = 3cm 105o A 4 cm B 4. Draw DY such that ∠ADY = 750 5. Mark a point C such that CD = 8cm 6. Join BC. ABCD is the required trapezium. X D 4 cm