Monicaa Abhijit Solutions for Chapter: Understanding Quadrilaterals, Exercise 6: REVIEW EXERCISES

Two opposite angles of a parallelogram are $\left(3x-2\right)°$ and $\left(50-x\right)°$. Find the measure of each angle of the parallelogram.

In the parallelogram $\mathrm{ABCD}$, the bisectors of $\angle \mathrm{A}$ and $\angle \mathrm{B}$ meet at point $\mathrm{O}$. Find $\angle \mathrm{AOB}$

$\mathrm{SNAP}$ is a parallelogram in which $\angle \mathrm{PSO}=50°$ and $\angle \mathrm{NSO}=25°$ and $\angle \mathrm{AOP}=60°$. Find $\angle \mathrm{SNO},\angle \mathrm{OPA},\angle \mathrm{SAN}$ and $\angle \mathrm{ANP}$.

In the given figure, find the measure of $\angle \mathrm{UMP}$.

The bisectors of $\angle \mathrm{A}$ and $\angle \mathrm{B}$ meet at point $\mathrm{P}$. If $\angle \mathrm{C}=105°$ and $\angle \mathrm{K}=55°$, find the measure of $\angle \mathrm{APB}$

In a quadrilateral $\mathrm{ABCD}$, $\mathrm{AO}$ and $\mathrm{BO}$ are the bisectors of $\angle \mathrm{A}$ and $\angle \mathrm{B}$ respectively. Prove that $\angle \mathrm{AOB}=\frac{1}{2}\left(\angle \mathrm{C}+\angle \mathrm{D}\right)$.

Find the angles $x,y,z$ in the given figure.

In the given figure, $\mathrm{ABCD}$ and $\mathrm{AEFG}$ are parallelograms. If $\angle \mathrm{C}=55°$, what is the measure of $\angle \mathrm{F}$?