Monicaa Abhijit Solutions for Chapter: Construction of Quadrilaterals, Exercise 4: EXERCISE 15.4

Construct a quadrilateral $\mathrm{FUSE}$ in which $\mathrm{FU}=5.2 \mathrm{cm}, \mathrm{US}=4.6 \mathrm{cm}, \mathrm{SE}=5.8 \mathrm{cm}, \angle \mathrm{U}=30°$ and $\angle \mathrm{S}=150°$.

Construct a quadrilateral $\mathrm{PINE}$ in which $\mathrm{PI}=3.5 \mathrm{cm}, \mathrm{IN}=5.5 \mathrm{cm}, \mathrm{NE}=5 \mathrm{cm}, \angle \mathrm{I}=125°$ and $\angle \mathrm{N}=80°$.

Construct a quadrilateral $\mathrm{PACE}$ in which $\mathrm{PA}=5.4 \mathrm{cm}, \mathrm{AC}=5.7 \mathrm{cm}, \mathrm{PE}=4.5 \mathrm{cm}, \angle \mathrm{P}=120°$ and $\angle \mathrm{A}=115°$. What is the measure of the side $\mathrm{CE}$?

Construct a quadrilateral $\mathrm{MUST}$ in which $\mathrm{MU}=8 \mathrm{cm}, \mathrm{US}=4 \mathrm{cm}, \mathrm{ST}=6 \mathrm{cm}, \angle \mathrm{U}=40°$ and $\angle \mathrm{S}=85°$.

Construct a quadrilateral $\mathrm{DART}$ in which $\mathrm{AR}=5.6 \mathrm{cm}, \mathrm{RT}=3.4 \mathrm{cm}, \mathrm{DT}=4.6 \mathrm{cm}, \angle \mathrm{R}=90°$ and $\angle \mathrm{T}=105°$.

Construct a rhombus $\mathrm{MAST}$ in which $\mathrm{MA}=7.4 \mathrm{cm}$ and $\angle \mathrm{M}=75°$.