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Question 186
Construct a trapezium ABCD in which ABDC,A=105, AD = 3 cm, AB = 4 cm and CD = 8 cm.
 


Solution

We know that.
A+D=180      [ sum of adjacent angle of a trapezium is 180]
105+D=180
D=75

Steps of Construction
Step I Draw AB = 4 cm.
Step II Draw ¯AX such that BAX=105.
Step III Mark a point D on AX such that AD = 3 cm.
Step IV Draw ¯DY such that ADY=75.
Step V Mark a point C such that CD = 8 cm.
Step VI Join BC.
Hence, ABCD is the required trapezium.

Mathematics
NCERT Exemplar
Standard VIII

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