Question
Construct a quadrilateral NEWS in which NE = 7 cm, EW = 6 cm, ∠N=60∘,∠E=110∘ and ∠S=85∘.
Construct a quadrilateral NEWS in which NE = 7 cm, EW = 6 cm, ∠N=60∘,∠E=110∘ and ∠S=85∘.
Answer:
:
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.
Thus, NEWS is the required quadrilateral.
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:
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.
Thus, NEWS is the required quadrilateral.
Was this answer helpful ?
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