Mathematics
In a cyclic quadrilateral ABCD, ∠A : ∠C = 3 : 1 and ∠B : ∠D = 1 : 5; find each angle of the quadrilateral.
Related Questions
AB is the diameter of the circle with center O. OD is parallel to BC and ∠AOD = 60°. Calculate the numerical values of :
(i) ∠ABD,
(ii) ∠DBC,
(iii) ∠ADC.
In the given figure, the center O of the small circle lies on the circumference of the bigger circle. If ∠APB = 75° and ∠BCD = 40°, find :
(i) ∠AOB,
(ii) ∠ACB,
(iii) ∠ABD,
(iv) ∠ADB.
In the given figure, PQ is a diameter. Chord SR is parallel to PQ. Given that ∠PQR = 58°, Calculate :
(i) ∠RPQ
(ii) ∠STP.
In the given figure, ∠BAD = 65°, ∠ABD = 70° and ∠BDC = 45°. Find :
(i) ∠BCD
(ii) ∠ACB
Hence, show that AC is a diameter.
