Jharne De and Ranjana Kumar Solutions for Chapter: Quadrilaterals, Exercise 6: Test Paper 2

In the following figure, find the value of $\mathrm{x}+\mathrm{y}+\mathrm{z}+\mathrm{w}$ (in $°$).

The four angles of a quadrilateral are $\mathrm{x}, 3\mathrm{x}, 2\mathrm{x}+9, 4\mathrm{x}+11$. Find the measure of the each angle of the quadrilateral.

The diagonals of a rectangle $\mathrm{PQRS}$ meets at $\mathrm{O}$. If $\angle \mathrm{ROQ}=50°$ and $\angle \mathrm{OQR}=70°$, then find the measure of $\angle \mathrm{PSO}$.

One angle of the adjacent angles of a parallelogram is $\frac{4}{5}\mathrm{th}$ of the other. Find each of the angles of the parallelogram.

In a trapezium $\mathrm{ABCD}, \mathrm{OC}$ and $\mathrm{OD}$ are bisectors of $\angle \mathrm{C}$ and $\angle \mathrm{D}$ respectively. Find the measure of $\angle \mathrm{ABC}$ and $\angle \mathrm{DAB}$.

$\mathrm{PQRS}$ is a trapezium such that $\mathrm{PQ}\parallel \mathrm{RS}$, $\angle \mathrm{P}:\angle \mathrm{S}=2:1$, and $\angle \mathrm{Q}:\angle \mathrm{R}=7:5$. Find the angles of the trapezium.

In rectangle $\mathrm{ABCD}$ diagonals meets at $\mathrm{O}$. If $\mathrm{AC}=18 \mathrm{cm}$ and $\mathrm{BD}=2\mathrm{X}-10$, then find the value of $\mathrm{x}$.

One of the exterior and the interior angles of a parallelogram are in the ratio $2:3$. Find all the angles of the parallelogram.