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Question

# To construct a trapezium ABCD with AB∥CD, AB = 6.5 cm, BC = 6.2 cm, ∠ABC=80∘ and ∠DAB=105∘, we follow the following steps: 1) Draw the line segment AB = 6.5 cm. 2) Construct the angle ∠ABX=80∘ at B. 3) With B as centre, draw an arc of radius 6.2 cm cutting BX at C. 4) Draw CD parallel to AB. The next step involved in the construction is __.

A
From the point A, draw an arc of radius 6.2 cm cutting CY.
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B
Construct the angle BAZ=105 at A cutting CY at D.
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C
From the point A, draw an arc of radius 6.6 cm cutting CY.
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D
Construct the angle BAZ=75 at A cutting CY at D.
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Solution

## The correct option is B Construct the angle ∠BAZ=105∘ at A cutting CY at D. The steps involved in the construction of the given trapezium ABCD is as follows: 1) Draw the line segment AB = 6.5 cm. 2) Construct the angle ∠ABX=80∘ at B. 3) With B as centre, draw an arc of radius 6.2 cm cutting BX at C. 4) Draw CD parallel to AB. 5) Construct the angle ∠BAZ=105∘ at A cutting CY at D. Join ABCD. This is the required trapezium.

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