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Question

To construct a trapezium ABCD with ABCD, 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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