PLZZ ANS WAITING SINCE YESTERDAY ANS IT PLZZ O,B,D and C are the vertices of a rhombus and A,B,C and D lie on the circle with centre O. Find Angle BOC , Angle OBC, Angle BAC and Angle BDC. Share with your friends Share 0 Anuradha Sharma answered this Consider the diagram below: Let r be the radius of the circle. Since OBDC is a rhombus, OB=BD=CD=OC=r Also, OD=r, so OB=OD=BD=r and OD=CD=OC=r So, triangle OBC and ODC are both equilateral triangles. Therefore, ∠OBC = 60∘ We also know that diagonal of a rhombus bisects the angle of the vertex. Therefore, ∠BOC=2(∠BOD) = 120∘ Similarly, ∠BDC=2(∠ODB)=120∘Finally, we know that angle subtended by a chord on minor arc is half the angle subtended by the same chord on centre. Chord BC subtends an angle of 120∘ at the centre. So ∠BAC=12(120)=60∘ 0 View Full Answer
