Construct a quadrilateral NEWS in which NE = 7cm, EW = 6 cm, ∠N = 60°, ∠E = 110° and ∠S = 85°.
Solution:
Given, NEWS is a quadrilateral.
NE = 7cm, EW = 6 cm, ∠N = 60°, ∠E = 110° and ∠S = 85°.
We have to construct a quadrilateral NEWS.
We know that the sum of all the angles of a quadrilateral is 360°.
Now, ∠N + ∠E + ∠W + ∠S = 360°
60° + 110° + ∠W + 85° = 360°
170° + ∠W + 85° = 360°
255° + ∠W = 360°
∠W = 360° - 255°
∠W = 105°
To construct a quadrilateral NEWS,
1. Draw a line segment NE = 7 cm
2. Make ∠NEX = 110°
3. With E as center and radius 6 cm , draw an arc, cutting EX at W.
4. Make ∠EWY = 105°
5. Make ∠ENZ = 60°, so that NZ and WY intersect each other at point S.
Therefore, NEWS is the required quadrilateral.
✦ Try This: Construct parallelogram PQRS, when PQ = 5 cm, diagonal PR = 7.6 cm and diagonal QS = 5.6 cm.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 199
Construct a quadrilateral NEWS in which NE = 7cm, EW = 6 cm, ∠N = 60°, ∠E = 110° and ∠S = 85°.
Summary:
A quadrilateral NEWS in which NE = 7cm, EW = 6 cm, ∠N = 60°, ∠E = 110° and ∠S = 85° is constructed above.
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