(a) In the figure (i) given below, AT is tangent to a circle at A. If ∠BAT = 45° and ∠BAC = 65°, find ∠ABC.
(b) In the figure (ii) given below, A, B and C are three points on a circle. The tangent at C meets BA produced at T. Given that ∠ATC = 36° and ∠ACT = 48°, calculate the angle subtended by AB at the centre of the circle. (2001)
Solution:
More Solutions:
- In the figure given below, O is the centre of the circle.
- Given below, PQ is a diameter. Chord SR is parallel to PQ.
- AB is a diameter of the circle. If ∠ADC = 120°, find ∠CAB.
- ABCD is a quadrilateral inscribed in a circle with centre O.
- PQRS is a cyclic quadrilateral in which PQ = QR and RS is produced to T.
- Given below, O is the centre of the circle.