幾何與角

If the plane figure above is rotated anticlockwise about the point $O$ through $270^\circ$, which of the following is its image?

In the figure, $C$ is a point lying on $AB$ such that $AC=AD$. If $AB\,/\!/\,ED$, find $\angle ADE$.

In the figure, $ABCD$ is a rectangle. If $M$ is a point lying on $AC$ such that $DM$ is perpendicular to $AC$, then $AM:MC=$

Each interior angle of a regular $24$-sided polygon is

If the point $R(-4,-3)$ is reflected with respect to the straight line $y+7=0$ to the point $S$, then the coordinates of $S$ are

In the figure, $AD$ is a diameter of the circle $ABCD$. It is given that $XBCY$ is a straight line. If $AD=20\ \text{cm}$ and $BC=12\ \text{cm}$, then $AX+DY=$

In the figure, $XY$ and $XZ$ are the tangents to the circle $ABCD$ at $A$ and $B$ respectively. If $\angle AXB=50^\circ$ and $\angle DAY=30^\circ$, then $\angle BCD=$

In the figure, $ABCD$ is a rhombus and $ABE$ is a straight line. If $\angle BCE=40^\circ$ and $BC=CE$, then $\angle CAD=$

If each interior angle of a regular $n$-sided polygon is $144^\circ$, then $n=$

In the figure, $x=$