Question : The sum of the angles made by a chord at the centre and on the major arc of a circle is 180 degrees. What will be the angle made at the centre of the circle?

Option 1: 60 degrees

Option 2: 90 degrees

Option 3: 75 degrees

Option 4: 120 degrees

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?

Option 1: 125 degrees

Option 2: 150 degrees

Option 3: 90 degrees

Option 4: 75 degrees

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?

Option 1: $120^{\circ}$

Option 2: $130^{\circ}$

Option 3: $80^{\circ}$

Option 4: $100^{\circ}$

Question : The angle subtended by a chord on the major arc of the circle is 50°. What is the angle subtended by the same chord on the centre of the circle?

Option 1: 100°

Option 2: 120°

Option 3: 140°

Option 4: 25°

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 $\angle \mathrm{ABO}=40^{\circ}$ and $\angle \mathrm{ACO}=30^{\circ}$, then find $\angle \mathrm{BOC}$.

Option 1: $130^{\circ}$

Option 2: $140^{\circ}$

Option 3: $120^{\circ}$

Option 4: $150^{\circ}$

Question : The angle subtended by a chord on the centre of a circle is 180°. What will be the angle subtended by the same chord on the circumference of this circle?

Option 1: 120°

Option 2: 95°

Option 3: 90°

Option 4: 45°