Angles in the Same Segment of a Circle

Q.

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If $\angle DBC={70}^{\circ }$ and $\angle BAC={30}^{\circ }$, then $\angle BCD$= ___.

Q.

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If $\angle DBC={70}^{\circ }$ and $\angle BAC={30}^{\circ }$, then $\angle BCD$= ___.

1. ${120}^{\circ }$
2. ${80}^{\circ }$
3. ${110}^{\circ }$
4. ${100}^{\circ }$

Q.

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

1. ${30}^{\circ }$

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

3. ${50}^{\circ }$

4. ${100}^{\circ }$