If the diagonals of cyclic quadrilateral are equal, then the quadrilateral is

In the given figure, $\mathrm{AB}$ is the diameter of the circle. $\mathrm{C}$ and $\mathrm{D}$ lie on the semicircle. $\angle \mathrm{ABC}=65°$ and $\angle \mathrm{CAD}=45°$. Find $\angle \mathrm{DCA}$.

In the given figure, chords $\mathrm{AB}$ and $\mathrm{CD}$ are equal. If $\angle \mathrm{OBA}=55°$, then $\angle \mathrm{COD}$ is :

The quadrilateral formed by angle bisectors of a cyclic quadrilateral is a

In the given figure, $∆BAC$ and $∆BDC$ are angles of some segments. $\angle DBC = 30°$ and $\angle BCD = 110°.$ Find m$\angle BAC$ is: 

In the given figure, $\angle \mathrm{AOC}=120°$. Find $\angle \mathrm{CBE}$, where $\mathrm{O}$ is the centre.

In the given figure, $\angle \mathrm{COB}=40°$, $\mathrm{AB}$ is the diameter of the circle. Find $\angle \mathrm{CAB}$.