Question : If in a $\triangle$ABC as drawn in the figure, AB = AC and $\angle$ACD = 130°, then $\angle$BAC is equal to:

Option 1: 60°

Option 2: 50°

Option 3: 70°

Option 4: 80°

Question :
In the given figure, $\angle ABC=81^{\circ}$ and $\angle ACB=9^{\circ}$. What is the value of $\angle BDC$?

Option 1: 80°

Option 2: 90°

Option 3: 70°

Option 4: 60°

Question : In the given figure, if $\mathrm{PA}$ and $\mathrm{PB}$ are tangents to the circle with centre $\mathrm{O}$ such that $\angle \mathrm{APB}=54^{\circ}$, then $\angle \mathrm{OBA}=$________.

Option 1: 27°

Option 2: 40°

Option 3: 30°

Option 4: 35°

Question : In the given figure, ABC is a right-angled triangle, $\angle$ABC = 90° and $\angle$ACB = 60°. If the radius of the smaller circle is 2 cm, then what is the radius (in cm) of the larger circle?

Option 1: 4

Option 2: 6

Option 3: 4.5

Option 4: 7.5

Question : In the given figure, PQ is a chord passing through the centre 'O' of the circle. Calculate $\angle$PQS.

Option 1: 40°

Option 2: 60°

Option 3: 20°

Option 4: 80°