Find angle BOC in the given figure if AOB = 30 degrees and AC is the diameter of the given circle.

Q. In the given figure, $AOB$ is a diameter of the circle with center $O$ and $AC$ is a tangent to the circle at $A$. If $\angle BOC={130}^o$, then find $\angle ACO$.

Q.

In the given figure AC is the diameter of the circle. If arc AXB is equal to half of arc BYC. \(\angle AOB\) = ___ degrees

\( \theta \)

Q. In the given figure, if AOB is a diameter of the circle and AC = BC, then ∠CAB is equal to ____________.

Q. In the given figure
If $\angle \text{AOB}={45}^{\circ },\angle \text{BOC}={30}^{\circ }\text{and}\angle \text{AOD}={110}^{\circ }$
Find angle $\text{COD and BOD}$

Q. In the given figure A, B and C are three points on a circle with centre O such that $\angle BOC={30}^{\circ }$ and $\angle AOB={60}^{\circ }$. If D is a point on the circle other than the arc ABC, find $\angle ADC$ in degrees.