Angle Subtended by an Arc of a Circle at the Centre

Q.

If ∠ABC = 69° and ∠ACB = 31°, then ∠BDC will be:​

1. ${110}^o$
2. ${100}^o$
3. ${90}^o$
4. ${80}^o$

Q. What is the value of $\angle DBC$ in the above figure?

1. ${20}^{\circ }$
2. ${70}^{\circ }$
3. ${60}^{\circ }$
4. ${100}^{\circ }$

Q.
If $\angle COD={80}^{\circ },$ then $\angle CAD$ = ___.

1. $\angle CBD$
2. ${40}^{\circ }$
3. ${160}^{\circ }$
4. $\angle COB$

Q. In the given figure, what is the value of x?

1. ${10}^{\circ }$
2. ${30}^{\circ }$
3. ${15}^{\circ }$
4. ${20}^{\circ }$

Q. In the given figure, O is the centre of a circle and PQ is a diameter. If $\angle ROS={40}^{\circ },$ then what is the value of $\angle RTS$?

1. ${20}^{\circ }$
2. ${45}^{\circ }$
3. ${70}^{\circ }$
4. ${65}^{\circ }$

Q.

In the given figure, O is the centre of the circle. Find $x$.

1. ${50}^{\circ }$

2. ${40}^{\circ }$

3. ${30}^{\circ }$

4. ${20}^{\circ }$

Q.

An equilateral triangle ABC is inscribed in a circle with centre O. Then, $\angle BOC$ is equal to ___.

1. 30${}^{\circ }$
2. 60${}^{\circ }$
3. 90${}^{\circ }$
4. 120${}^{\circ }$

Q. In the given figure, O is the centre of the circle. Tap on the angle whose value will be $2x^{\circ }.$

1. 
2. 
3. 
4. 

Q. Consider the figure where $\angle AOB={90}^{\circ }$ and $\angle ABC={30}^{\circ }.$ Then, $\angle CAO$ = ___.

1. ${75}^{\circ }$
2. ${60}^{\circ }$
3. ${45}^{\circ }$
4. ${50}^{\circ }$

Q. In the given figure, if $\angle \text{OAB}={30}^{\circ }$, then $\angle \text{ACB}$ = ___.

1. ${30}^{\circ }$
2. ${60}^{\circ }$
3. ${40}^{\circ }$
4. ${50}^{\circ }$