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Question

# Construct a quadrilateral ABCD in which AB=3.6 cm,∠ABC=80∘,BC=4 cm,∠BAD=120∘, and AD=5 cm. Steps of construction are: (i) Make ∠BAY=120∘ (ii) Join CD (iii) With B as centre and radius equal to 4 cm, draw an arc, cutting BX at C. (iv) Draw AB=3.6 cm (v) With A as centre and 5 cm as radius, draw an arc, cutting AY at D. (vi) Make ∠ABX=80∘ Choose the correct order of steps of construction.

A
(i), (vi), (ii), (iv), (v), (iii)
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B
(i), (iii), (ii), (iv), (vi), (v)
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C
(i), (ii), (iii), (iv), (v), (vi)
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D
(iv), (vi), (iii), (i), (v), (ii)
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Solution

## The correct option is D (iv), (vi), (iii), (i), (v), (ii)The correct steps of construction: Step 1: Draw AB=3.6 cm Step 2: Make ∠ABX=80∘ Step 3: With B as centre and radius equal to 4 cm, draw an arc, cutting BX at C. Step 4: Make ∠BAY=120∘ Step 5: With A as centre and 5 cm as radius, draw an arc, cutting AY at D. Step 6: Join CD

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