In the adjoining figure, $ABCD$ is a kite. If $\angle BCD=52°$ and $\angle ADB=42°$. Find the values of $x, y$ and $z$. $[$Hint. Join $AC]$

 

In the adjoining figure, $ABCD$ is a rectangle. Prove that $AC=BD$.

$[$Hint. $△ABC\cong △BAD]$

In the adjoining figure, $ABCD$ is a rhombus and $EDC$ is an equilateral triangle. If $\angle DAB=48°,$ find $\angle BEC$.

$[$Hint $\angle BCE=48°+60°=108°,BC=EC]$

In the adjoining figure, $ABCD$ is a rhombus and $EDC$ is an equilateral triangle. If $\angle DAB=48°,$ find $\angle DEB$.

$[$Hint. $\angle BCE=48°+60°=108°,BC=EC]$

In the adjoining figure, $ABCD$ is a rhombus and $EDC$ is an equilateral triangle. If $\angle DAB=48°,$ find $\angle BFC$.

$[$Hint. $\angle BCE=48°+60°=108°,BC=EC]$

Two angles of a polygon are right angles and every other angle is $120°.$ Find the number of sides of the polygon.

$[$Hint. Let the number of sides be $n$, then $2\times 90°+(n-2)\times 120°=(n-2)\times 180°]$