Question

Construct a trapezium ABCD in which
AB ∥ DC, ∠A = ${105}^0$, AD = 3 cm, AB = 4 cm and CD = 8 cm.
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Answer 1

$\angle A+\angle D=180105+\angle D=180\angle D={75}^0$
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Steps of Construction
Step I Draw AB = 4 cm.
Step II Draw ¯AX such that ∠BAX=${105}^0$.
Step III Mark a point D on AX such that AD = 3 cm.
Step IV Draw ¯DY such that ∠ADY=${75}^0$.
Step V Mark a point C such that CD = 8 cm.
Step VI Join BC.
Hence, ABCD is the required trapezium.
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