In the shown figure,  O is the centre of the circle.  PB  =  PC, ∠PBO  =  25∘ and  ∠BOC  =  130∘, then find  ∠ABP + ∠DCP.

In the diagram, P,Q𝑃,𝑄 and R𝑅 are three points on the circle whose centre is O.𝑂. The lines PO𝑃𝑂 and QR𝑄𝑅 are produced to meet at S.𝑆. Suppose that RS=OP,𝑅𝑆=𝑂𝑃, and ∠PSQ=18∘∠𝑃𝑆𝑄=18∘ and ∠POQ=x∘.∠𝑃𝑂𝑄=𝑥∘. Find the value of x.𝑥.O S Q P Ra. 5454b. 6464c. 5656d. 5555

7 In the given figure, O is the centre of the circle, ∠AOB = 600 and ∠CDB= 900. Find ∠OBC

In the figure O is the centre of the circle and angle BOC=130. Find the measure of angle ADC​

In the figure, O is the centre of the circle, OED = 70° and OCD = 65°. Find CAE.45°55°50°Cannot be determined

In a adjoining figure there is a circle with center O. If Dc, diameter AB, and m∠AOC= 120 degree, then m∠ACD is?