Rupesh Pathak and Vaishali Bhatia Solutions for Chapter: Construction of Quadrilaterals, Exercise 3: Exercise 10.1

Construct a quadrilateral $MNOP$ in which $\angle N=45°, \angle O=90°, NO=5 \mathrm{cm}, MN=4 \mathrm{cm} \text{and} OP=3 \mathrm{cm}$, if possible.

Construct a quadrilateral $PQRS$ in which $PQ=4 \mathrm{cm}, QR=3 \mathrm{cm}, PS=3.5 \mathrm{cm}, PR=6 \mathrm{cm} \text{and} QS=5 \mathrm{cm}$, if possible.

Construct a quadrilateral $QRST$ in which $QR=RS=5.5 \mathrm{cm}, \angle Q=105°, \angle R=110° \text{and} \angle S=105°$, if possible.

Is it possible to construct a quadrilateral $\mathrm{UVWX}$ in which
$\mathrm{UV}=5 \mathrm{cm}, \mathrm{VW}=6 \mathrm{cm}, \angle \mathrm{U}=140°, \angle \mathrm{V}=90°, \angle \mathrm{X}=130°$

Is it possible to construct a quadrilateral $\mathrm{UVWX}$ in which
$\mathrm{UV}=7 \mathrm{cm}, \mathrm{VW}=3 \mathrm{cm}, \mathrm{WX}=5 \mathrm{cm}, \mathrm{UW}=11 \mathrm{cm}, \angle \mathrm{W}=100°$

Is it possible to construct a quadrilateral $\mathrm{UVWX}$ in which
$\mathrm{UV}=5 \mathrm{cm}, \mathrm{VW}=6 \mathrm{cm}, \angle \mathrm{V}=110°, \angle \mathrm{U}=115°, \angle \mathrm{X}=15°$

Is it possible to construct a quadrilateral $\mathrm{UVWX}$ in which
$\angle \mathrm{V}=\angle \mathrm{U}=140°, \angle \mathrm{X}=150°, \angle \mathrm{W}=50°, \mathrm{UV}=6 \mathrm{cm}$

Is it possible to construct a quadrilateral $\mathrm{UVWX}$ in which
$\mathrm{UV}=\mathrm{VW}=5 \mathrm{cm}, \angle \mathrm{U}=100°, \angle \mathrm{V}=120°, \angle \mathrm{W}=40°$