Opposite angles of a cyclic quadrilateral are .

Find the value of $x$ in the given figure.

In the given figure, $AC$ is the diameter of the circle with centre $O$. If $\angle ADE=30° ; \angle DAC=35°$ and $\angle CAB=40°$. If the value of $\angle ACD$ is $k°$ then find the value of $k$.

In the given figure, $AC$ is the diameter of the circle with centre $O$. If $\angle ADE=30° ; \angle DAC=35°$ and $\angle CAB=40°$. If the value of $\angle ACB$ is $k°$ then find the value of $k$.

In the given figure, $AC$ is the diameter of the circle with centre $O$. If $\angle ADE=30° ; \angle DAC=35°$ and $\angle CAB=40°$. If the value of $\angle DAE$ is $k°$ then find the value of $k$.

Find all the angles of the given cyclic quadrilateral $ABCD$ in the figure.

In the given figure, $ABCD$ is a cyclic quadrilateral where diagonals intersect at $P$ such that $\angle DBC = 40°$ and $\angle BAC = 60°$ find  $\angle CAD$ and $\angle BCD$.

In the given figure, $AB$ and $CD$ are the parallel chords of a circle with centre $O$. Such that $AB=8 \mathrm{cm}$ and $CD=6 \mathrm{cm}$. If $OM\perp AB$ and $OL\perp CD$ distance between $LM$ is $7 \mathrm{cm}$. If the radius of the circle is $k cm$ then find the value of $k$.

The arch of a bridge has dimensions as shown, where the arch measure $2 \mathrm{m}$ at its highest point and its width is $6 \mathrm{m}$. If is the radius of the circle that contains the arch is $k m$ then find the value of $k$.