M L Aggarwal Solutions for Chapter: Quadrilaterals, Exercise 2: Exercise 8.2

In a quadrilateral, the angles are in a ratio $2:4:5:7$. If the difference between the greatest and the smallest angle is $k°$, find $k$.

In the given quadrilateral, $\angle \mathrm{A}=70°, \angle \mathrm{B}=130°$ and the bisectors of $\angle \mathrm{C}$ and $\angle \mathrm{D}$ meet at $\mathrm{O}$. If $\angle \mathrm{COD}=k°$, find $k$.

In the given figure, $ABCD$ is a parallelogram. If $\angle \mathrm{A}=60°$ and $\angle \mathrm{CBD}=82°$. If $\angle \mathrm{CDB}=k°$, find $k$.

In a trapezium $ABCD, AB\Vert DC, \angle A=83°$. If $\angle D=k°$, find $k$.

In the given figure, $ABCD$ is a parallelogram. If $\angle \mathrm{ABD}=35°$ and $\angle \mathrm{ABC}=113°$, then find the values of $x$ and $y$.

If $∆\mathrm{ABC}, \mathrm{AB}=7.4 \mathrm{cm}, \mathrm{BC}=6.5 \mathrm{cm}$ and $\mathrm{CA}=9 \mathrm{cm}$. $D$ and $E$ are mid-points of $\mathrm{AB}$ and $BC$, respectively. If the length of $DE$ is $k \mathrm{cm}$, find $k$ in decimal number.

In the given figure, $ABCD$ is a rectangle in which $AB=6 \mathrm{cm}$ and $AD=8 \mathrm{cm}$. $P$ and $Q$ are mid-points of the sides $BC$ and $CD$, respectively. If the length of $PQ=k \mathrm{cm}$, find $k$.

In a parallelogram $\mathrm{ABCD}$, if $\angle \mathrm{A}=(3x-10)°, \angle \mathrm{B}=(2y+20)°$ and $\angle \mathrm{C}=(x+50)°$, then find the values of $x$ and $y$.