Two chords AB and CD of the circle with centre at O intersect each other at an internal point P of the centre. Prove that `angle AOD+ angle BOC=2 angle BPC`

Two chords AB and CD of a circle with centre O intersect each other at the point P. prove that AOD+ angle BOC = 2 angle PBC . If angle BOC are supplementary to each other, then prove that the two chords are perpendicular to each other.

If two chords AB and CD of a circle with centre, O, when producd intersect each other at the point P, prove that angle AOC- angle BOD=2 angle BPC .

If two chords AB and CD of a circle with centre O, when produce intersect each other at the point P, then prove angleAOC-angleBOD = 2angleBPC .

Two chords AB and CD of a circle with centre O intersect each other at the point P. If ∠AOD =20° and ∠BOC = 30°, then ∠BPC is equal to?

Two chords AB, CD of a circle with centre O intersect each other at P. angleADP =23^@ and angleAPC = 70^@ , then the angleBCD is

Two chords AB and CD of a circle intersect at a internal point P of the circle. Prove that APxxBP=CPxxDP .

Two chords AB and CD of a cricle with centre O intersect at P. Prove that angleAOD+angleBOC= 2 angleBPC .

Two chords AB and CD of circle having centre O intersect each other at P. If angleAPC = 40^@ , then angleAOC+angleBOD =

The length of tow chords AB and CD of the circle with centre at O are equal . If angle AOB = 60^(@) , then the value of angle COD is .

QR is a chord of the circle with centre O. Two tangents drawn at eh points Q and R intersect each other at the point P. If QM is a diameter, prove that angle QPR=2 angleRQM[GP-X]