Question : AB is the diameter of a circle with centre O. If P is a point on the circle such that $\angle$AOP=110°, then the measure of $\angle$OBP is:

Option 1: 50°

Option 2: 65°

Option 3: 60°

Option 4: 55°

Question : In $\triangle A B C, O$ is the point of intersection of the bisectors of $\angle B$ and $\angle A$. If $\angle B O C=108^{\circ}$, then $\angle B A O=$?

Option 1: 27°

Option 2: 40°

Option 3: 18°

Option 4: 36°

Question : In the given figure, $O$ is the centre of the circle and $\angle AOC=140°$. Find $\angle ABC$.

Option 1: 95°

Option 2: 110°

Option 3: 120°

Option 4: 103°

Question : If RP and RQ are two tangents to a circle with centre O, such that $\angle POQ=120°$, where P and Q are the points on the circle and R is a point outside the circle, then $\angle PRQ$ is equal to:

Option 1: 90°

Option 2: 75°

Option 3: 60°

Option 4: 45°

Question : Let P and Q be two points on a circle with centre O. If two tangents of the circle through P and Q meet at A with $\angle PAQ=48^{\circ}$, then $\angle APQ$ is:

Option 1: 96°

Option 2: 48°

Option 3: 66°

Option 4: 124°