Question 11 MarkIn Fig. ABCD is a quadrilateral inscribed in a circle with centre O. CD is produced to E such that $\angle A D E=95^{\circ}$ and $\angle O B A=30^{\circ}$. Find $\angle O A C$.View full question & answer→
Question 21 MarkIf Fig. AOC is a diameter of the circle and arc AXB $=\frac{1}{2}$ arc BYC.Find $\angle B O C$.View full question & answer→
Question 31 MarkIn Fig. if O is the circumcentre of $\triangle A B C$ then find the value of $\angle O B C+\angle B A C$View full question & answer→
Question 41 MarkIn Fig. P and Q are centres of two circles intersecting at B and C. ACD is a straight line. Then, find $\angle B Q D$View full question & answer→
Question 51 MarkIn Fig. AB is a diameter of the circle such that $\angle A=35^{\circ}$ and $\angle Q=25^{\circ}$, find $\angle P B R$.View full question & answer→
Question 61 MarkIn Fig. A is the centre of the circle. ABCD is a parallelogram and CDE is a straight line. Find $\angle B C D: \angle A B E$.View full question & answer→
Question 71 MarkIn Fig. if $\angle A O B=80^{\circ}$ and $\angle A B C=30^{\circ}$, then find $\angle C A O$.View full question & answer→
Question 81 MarkIn Fig. ABCD is a cyclic quadrilateral in which $\angle B A D=75^{\circ}, \angle A B D=58^{\circ}$ and $\angle A D C=77^{\circ}$, AC and BD intersect at P. Then, find $\angle D P C$View full question & answer→
Question 91 MarkIn Fig. two congruent circles with centres $O$ and $O^{\prime}$ intersect at A and B. If $\angle A O^{\prime} B=50^{\circ}$, then find $\angle A P B$.View full question & answer→
Question 101 MarkIn Fig. two circles intersect at A and B. The centre of the smaller circle is O and it lies on the circumference of the larger circle. If $\angle A P B=70^{\circ}$, find $\angle A C B$View full question & answer→