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Question
Construct a quadrilateral NEWS in which NE = 7 cm, EW = 6 cm, ∠N = 60°, ∠E = 110° and ∠S = 85°.
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Solution
Fourth angle = 360° – (60° + 110° + 85°)
= 360° – 255°
= 105°
Steps of construction:
Step I: Draw NE = 7 cm.
Step II: Make ∠NEX = 110°
Step III: With E as centre and radius 6 cm, draw an arc, cutting EX at W.
Step IV: Make ∠EWY = 105°
Step V: Make ∠ENZ = 60°, so that NZ and WY intersect each other at point S.
Hence, NEWS is the required quadrilateral.
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