Monicaa Abhijit Solutions for Chapter: Construction of Quadrilaterals, Exercise 5: EXERCISE 15.5

Constrct a quadrilateral $\mathrm{MIKE}$ in which $\mathrm{MI}=5 \mathrm{cm}, \mathrm{IK}=4 \mathrm{cm}, \angle \mathrm{M}=80°, \angle \mathrm{I}=85°$ and $\angle \mathrm{K}=125°$.

Construct a quadrilateral $\mathrm{WEST}$ in which $\mathrm{WE}=5 \mathrm{cm}, \mathrm{ES}=3.2 \mathrm{cm}, \angle \mathrm{W}=55°, \angle \mathrm{E}=100°$ and $\angle \mathrm{T}=90°$.

Construct a parallelogram $\mathrm{DARK}$ in which $\mathrm{DA}=4.5 \mathrm{cm}, \mathrm{AR}=5.5 \mathrm{cm}$ and $\angle \mathrm{A}=100°$.

Construct a parallelogram $\mathrm{BLOW}$ in which $\mathrm{BL}=6 \mathrm{cm}, \mathrm{LO}=7 \mathrm{cm}$ and $\angle \mathrm{B}=65°$.

Construct a quadrilateral $\mathrm{BUNK}$ in which $\mathrm{BU}=4 \mathrm{cm}$, $\mathrm{UN}=7 \mathrm{cm}, \angle \mathrm{B}=110°, \angle \mathrm{N}=110°$ and $\angle \mathrm{K}=80°$.

Construct a quadrilateral $\mathrm{TURN}$ in which $\mathrm{UR}=4.7 \mathrm{cm}, \mathrm{RN}=5.8 \mathrm{cm}, \angle \mathrm{T}={60}^{\mathrm{o}}, \angle \mathrm{U}={100}^{\mathrm{o}}$ and $\angle \mathrm{R}={70}^{\mathrm{o}}$.

Is it possible to construct a quadrilateral $\mathrm{MASK}$ with $\mathrm{MA}=5.1 \mathrm{cm}, \mathrm{AS}=7.4 \mathrm{cm}, \angle \mathrm{M}={80}^{\mathrm{o}},\angle \mathrm{A}={140}^{\mathrm{o}}$ and $\angle \mathrm{S}={145}^{\mathrm{o}}$? Give reasons for your answer.