Question : $\mathrm{O}$ is the centre of a circle and $\mathrm{A}$ is a point on a major arc $\mathrm{BC}$ of the circle. $\angle \mathrm{BOC}$ and $\angle \mathrm{BAC}$ are the angles made by the minor arc $\mathrm{BC}$ on the centre and circumference, respectively. If

Question : If the angle made by a chord on the major arc of a circle is $50^{\circ}$, then what will be the angle made by the same chord on the minor arc of this circle?

Question : In $\triangle A B C$ the internal bisectors of $\angle ABC$ and $\angle ACB$ meet at $X$ and $\angle BAC=30^{\circ}$. The measure of $\angle BXC $ is:

Question : If in a $\triangle ABC$, $\angle ABC=5\angle ACB$ and $\angle BAC=3\angle ACB$, then what is the value of $\angle ABC$?

Question : The sum of the angles made by a chord at the centre and on the major arc of a circle is 225°. What will be the angle made at the major arc of this circle?