Question : If TM and TN are the two tangents to a circle with centre O so that $\angle$MON = 105°, then $\angle$MTN will be equal to:

Option 1: 70°

Option 2: 60°

Option 3: 75°

Option 4: 85°

Question : From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP is equal to the diameter of the circle, then $\angle$APB is:

Option 1: 45°

Option 2: 90°

Option 3: 30°

Option 4: 60°

Question : AB and AC are tangents to a circle with centre O. A is the external point of the circle. The line AO intersects the chord BC at D. The measure of the $\angle$BDO is:

Option 1: 60°

Option 2: 90°

Option 3: 45°

Option 4: 75°

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 : AB is the diameter of a circle with centre O. P is a point on it. If $\angle$POA = 120°. Then $\angle$PBO = ?

Option 1: 60°

Option 2: 120°

Option 3: 45°

Option 4: 50°

Question : In a cyclic quadrilateral ${EFGH}, \angle {E}$ is opposite to $\angle{G}$. If $\angle{E}=95°$, then what is the value of $\angle {G}$?

Option 1: 80°

Option 2: 75°

Option 3: 85°

Option 4: 105°