S.chand Class 8 Maths Solution Chapter 14 Construction of Quadrilaterals Exercise 14 E

 Exercise 14 E

Question 1

Draw a quadrilateral :

1. $A B C D$ in which $A B=5.8 \mathrm{~cm}, B C=4.2 \mathrm{~cm}, \angle A=70^{\circ}, \angle B=110^{\circ}$ and $\angle C=105^{\circ}$.

2. $A B C D$ in which $A B=6 \mathrm{~cm}, B C=5 \mathrm{~cm}, \angle A=55^{\circ}, \angle B=110^{\circ}$ and $\angle D=90^{\circ}$.

[Hint. $\left.\angle C=360^{\circ}-(\angle A+\angle B+\angle D)\right]$

3. Is it possible to construct a quadrilateral $A B C D$ in which $A B=5 \mathrm{~cm}, B C=7.5 \mathrm{~cm}, \angle A=80^{\circ}, \angle B=140^{\circ}$ and $\angle C=145^{\circ}$ ? If not, give reason.

[Hint. $\angle A+\angle B+\angle C=365^{\circ}>360^{\circ}$. Here, it is not possible to construct a quadrilateral with the given data.]