R. D. Sharma Solutions for Chapter: Quadrilaterals, Exercise 2: EXERCISE

Find the measure of all the angles of a parallelogram, if one angle is $24°$ less than twice the smallest angle.

The perimeter of a parallelogram is $22 \mathrm{cm}$. If the longer side measures $6.5 \mathrm{cm}$, what is the measure of the shorter side?

In a parallelogram $ABCD, \angle D=135°$, determine the measures of $\angle A$ and $\angle B$.

$ABCD$ is a parallelogram in which $\angle A=70°$. Compute $\angle B, \angle C$ and $\angle D$.

In the figure, $ABCD$ is a parallelogram in which $\angle DAB=75°$ and $\angle DBC=60°$. Compute $\angle CDB$ and $\angle ADB$.

State true or false:

In a parallelogram, the diagonals are equal.

In figure, $ABCD$ is a parallelogram in which $\angle A=60°$. If the bisectors of $\angle A$ and $\angle B$ meet at $P$, prove that $AD=DP, PC=BC$ and $DC=2AD$.

In the given figure, $ABCD$ is a parallelogram and $E$ is the midpoint of side $BC.$ If $DE$ and $AB$ when produced meet at $F$, prove that $AF=2AB.$