Construct a trapezium ABCD with AB || CD where AB = 6 cm, CD = 4 cm, <A = 70°, <ABD = 30°.
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Answer:
In trapezium ABCD,
∠A+∠D=180
∘
[Adjacent angles]
⇒105+∠D=180
∘
⇒∠D=75
∘
Steps for construction :
Step 1. Draw a line segment AB=4cm
Step 2. Draw a ray
AX
such that ∠ BAX = 105
∘
Step 3. Mark a point D on AX such that AD=3cm
Step 4. Draw
DX
such that ∠ADY=75
∘
Step 5. Mark a point C such that CD=8cm
Step 6. Join BC
Hence , ABCD is the required trapezium
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