In the adjoining figure $ABCD$ is a square, the value of angle $x$ is

In the adjoining figure, $ABCD$ is a kite, the value of angle $x$ is

In the adjoining figure, $ABCD$ is an isosceles trapezium, the values of $x, y$ and $z$ respectively are

In the adjoining figure, $ABCDEF$ is a regular hexagon. Prove that quadrilaterals $ABDE$ and $ACDF$ are parallelograms. Also prove that quadrilateral $AGDH$ is a parallelogram.

In the adjoining figure, $ABCD$ is a parallelogram and $M,N$ are the midpoints of sides $BC\mathit{,}\mathit{ }AD$ respectively. Prove that $EA=AB=BF$.

Prove that the quadrilateral formed by joining the midpoints of the adjacent sides of a rectangle is a parallelogram.

From the adjoining diagram, find the value of $x$.

In the adjoining figure, $AB\parallel DC, \angle A=74°$ and $\angle B:\angle C=4:5.$ Find $\angle D$.