In fig.
, A, B, C, D are four points on a circle. AC and BD intersect at a point E such that `/_BEC = 130^@` and `/_ECD = 20^@`. Find `/_BAC`.

In the given figure, A,B and C are three points on a circle with centre O such that angle BOC = 30^@ and angle AOB = 60^@ . If D is a point on the circle other than the arc ABC, find angle ADC .

(True/ False) If A, B, C and D are four points such that /_BAC = 45^@ and /_BDC = 45^@ , then A, B, C, D are concyclic.

In Fig. 10.32, AB is a diameter of the circle, CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E. Prove that angle AEB = 60^@ .

In the fig. AC>AB and D is the point on AC such that AB=AD. Show that BC>CD

In fig., A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR. .

In Fig, 6.21 , A, B and C are points on OP, OQ and OR respectively such that AB||PQ and AC||PR. Show that BC||QR.

In the given Fig. , if lines PQ and RS intersect at point T, such that anglePRT = 40^@ , angleRPT = 95^@ and angleTSQ = 75^@ find angleSQT .

In the given Fig. , if lines PQ and RS intersect at point T, such that anglePRT = 40^@ , angleRPT = 95^@ and angleTSQ = 75^@ find angleSQT .

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. /_DBC = 70^@ , /_BAC is 30^@ , find /_BCD . Futher, if AB = BC, find /_ECD .

(True/ False) If A, B, C, D are four points such that /_BAC = 30^@ and /_BDC = 60^@ , then D is the centre of the circle through A, B and C.