NCERT Solutions for Chapter: Understanding Quadrilaterals and Practical Geometry, Exercise 1: Exercise

Two adjacent angles of a parallelogram are in the ratio $1:3$. Find its angles.
 

Find the values of $x$ and $y$ in the following kite.

Find the value of $x$ in the trapezium $ABCD$ given below.

$ABCD$ is a parallelogram. Points $P$ and $Q$ are taken on the sides $AB$ and $AD$ respectively and the parallelogram $PRQA$ is formed. If $\angle \mathrm{C}=$ $45°,$ find $\angle R$

$A$ regular pentagon $ABCDE$ and a square $ABFG$ are formed on opposite sides of $AB$. Find $\angle BCF$.

In the following flgure $FD\parallel BC\parallel AE$ and $AC\parallel ED$. Find the value of $x$.

In the following figure, $AB\parallel DC$ and $AD=BC$. Find the value of $x$.

If the measure of each angle of a regular polygon of $20$ sides is $k°$ then find $k$.