Properties of a Quadrilateral

$ABCD$ is a rectangle, $AC$ is diagonal. Prove that $\angle ACD=\angle BAC$.

The four angles of a quadrilateral are in the ratio $1:2:3:4$. Find the measure of each angle of the quadrilateral

$ABCD$ is a trapezium in which $AB\parallel CD$. If $AD=BC$, show that $\angle A=\angle B$ and $\angle C=\angle D$.

Complete the following table by writing (YES) if the property holds for the particular Quadrilateral and (NO) if the property does not holds.

Complete the following table by writing (YES) if the property holds for the particular Quadrilateral and (NO) if the property does not holds.