Worksheet 4

One of the diagonals of a rhombus is equal to a side of the rhombus. The angles of the rhombus are  

$ABCD$ is a rhombus. If $ACB=40°$, then $\angle ADB$ is equal to

The diagonals of a parallelogram $ABCD$ intersect at $O$. If $\angle BOC=90°$ and $\angle BDC=50°$, then $\angle OAB$ is equal to    

In a rectangle $PQRS$, $\angle OPQ=38°$. Find $\angle RSQ$, where $O$ is the intersection point of diagonals.

In a trapezium $MLNK$, $\angle M+\angle L=180°$. What will be the sum of $\angle N+\angle K$? Also, which of its two sides are parallel?

In the given figure, $MP\left|\right|NO$. Find the values of $x$.

In the given figure, $ABCD$ is a parallelogram, in which $\angle ABD=25°$ and $\angle ADB=35°$. Find all the angles of the parallelogram.

In the following figure of a ship, $ABDH$ and $CEFG$ are two parallelograms. Find the values of $x$.