Question : In a circle with centre $O$ and diameter $E F$, if the two chords $A E=A F$, then $ \angle A E F$ is:

Option 1: 80°

Option 2: 90°

Option 3: 45°

Option 4: 60°

Question : A, B, P, and Q are points on the circumference of a circle with centre O. If angle AQB is 60°, then which of the following can be the value of angle APB?

Option 1: 160°

Option 2: 30°

Option 3: 90°

Option 4: 60°

Question : If PQ is a tangent of a circle (touches the circle at Q ) with centre O and angle POQ is 75°, then what is the value of angle OPQ?

Option 1: 15°

Option 2: 35°

Option 3: 30°

Option 4: 25°

Question : In a circle if PQ is the diameter of the circle and R is on the circumference of the circle such that $\angle$PQR = 30°, then $\angle$RPQ =?

Option 1: 90°

Option 2: 60°

Option 3: 30°

Option 4: 45°

Question : AB and BC are two chords of a circle with centre O. Both chords are on either side of the centre O. Point A and point C are connected to the centre O, such that $\angle B A O=36^{\circ}$ and $\angle B C O=48^{\circ}$. What is the degree measure of the angle subtended by the minor arc AC at the centre O?

Option 1: 136°

Option 2: 144°

Option 3: 120°

Option 4: 168°