One of the diagonals of a rhombus is equal to one of its sides. Find the angles of the rhombus.

In figure, $ABCD$ is a rhombus in which $\angle ABD=40°$. Find $\angle BAC$.

In the figure, $ABCD$ is a rhombus in which $\angle ABD=40°$. Find $\angle BCD$.

In the figure, $ABCD$ is a rhombus and $CED$ is an equilateral triangle on side $CD$. If $\angle BAD=46°$, find $\angle BEC$.

In figure, $ABCD$ is a rhombus and $CED$ is an equilateral triangle on side $CD$. If $\angle BAD=46°$, find $\angle DEB$.

In the figure, $ABCD$ is a square. An equilateral triangle $ABE$ is drawn on the side $AB$. Diagonal $BD$ intersects $AE$ at $F$. Find the value of $x$.

In the figure, $ABCD$ is a square. $CDE$ is an equilateral triangle drawn on the side $CD$. Find the measure of $\angle AED$.

In the figure, $ABCD$ is a square. $CDE$ is an equilateral triangle drawn on the side $CD$. Find the measure of $\angle EAB$.