Question : In the given figure, MNP, SQP, NQR, and MSR are straight lines. $\angle$NPQ = 54° and $\angle$QRS = 68°. What is the degree measure of $\angle$SMN?

Option 1: 29°

Option 2: 38°

Option 3: 54°

Option 4: 68°

Question : In $\triangle \mathrm{ABC}, \angle \mathrm{A}=68^{\circ}$. If I is the incentre of the triangle, then the measure of $\angle B I C$ is:

Option 1: 124°

Option 2: 68°

Option 3: 148°

Option 4: 54°

Question : In the following figure, AB is the diameter of a circle whose centre is O. If $\angle AOE=150^{\circ},\angle DAO=51^{\circ}$ then the measure of $\angle CBE$ is:

Option 1: 115°

Option 2: 110°

Option 3: 105°

Option 4: 120°

Question : In a triangle, ABC, BC is produced to D so that CD = AC. If $\angle BAD=111^{\circ}$ and $\angle ACB=80^{\circ}$, then the measure of $\angle ABC$ is:

Option 1: 31°

Option 2: 33°

Option 3: 35°

Option 4: 29°

Question : In the given figure, O is the centre of the circle, $\angle PQR=100^{\circ}$ and $\angle STR=105^{\circ}$. What is the value (in degree) of $\angle OSP$?

Option 1: 95

Option 2: 45

Option 3: 75

Option 4: 65

Question : ABCD is a cyclic quadrilateral such that AB is the diameter of the circle circumscribing it and $\angle $ADC = 118°. What is the measure of $\angle$BAC?

Option 1: 28°

Option 2: 45°

Option 3: 32°

Option 4: 30°