Question
Construct a trapezium ABCD in which AB∥DC,∠A=105∘, AD = 3 cm, AB = 4 cm and CD = 8 cm.
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Construct a trapezium ABCD in which AB∥DC,∠A=105∘, AD = 3 cm, AB = 4 cm and CD = 8 cm.
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Answer:
:
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.
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:
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.
Was this answer helpful ?
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