Mathematics
In the figure (i) given below, chords AB, BC and CD of a circle with center O are equal. If ∠BCD = 120°, find
(i) ∠BDC
(ii) ∠BEC
(iii) ∠AEB
(iv) ∠AOB.
Hence, prove that △OAB is equilateral.
Related Questions
In the figure (i) given below, ∠CBP = 40°, ∠CPB = q° and ∠DAB = p°. Obtain an equation connecting p and q. If AC and BD meet at Q so that ∠AQD = 2q° and the points C, P, B and Q are concyclic, find the values of p and q.
In the figure (ii) given below, AC is a diameter of the circle with centre O. If CD || BE, ∠AOB = 130° and ∠ACE = 20°, find :
(i) ∠BEC
(ii) ∠ACB
(iii) ∠BCD
(iv) ∠CED.
In the figure (i) given below, AB and XY are diameters of a circle with centre O. If ∠APX = 30°, find
(i) ∠AOX
(ii) ∠APY
(iii) ∠BPY
(iv) ∠OAX.
In the figure (ii) given below, AP and BP are tangents to the circle with centre O. If ∠CBP = 25° and ∠CAP = 40°, find
(i) ∠ADB
(ii) ∠AOB
(iii) ∠ACB
(iv) ∠APB.
