Construct a quadrilateral ABCD in which BC = 5.2 cm, CD = 3.8 cm, ∠B =45 degrees , ∠C = 120 degrees , ∠D = 90 degrees .
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Steps of construction :
1) Draw AB = 3.8 cm.
2) Make ∠ABX=80
o
.
3) From B, set off BC = 3.4 cm.
4) With A as center and radius equal to 5 cm draw an arc.
5) With C as center and radius equal to 4.5 cm, draw another arc, cutting the previous arc at D.
6) Join AD and CD.
Thus, ABCD is the required quadrilateral.
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