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CBSE Class 9 Answered

O is the centre of the circle, BC = OB, Prove that x = 3y.
Asked by seenasoman30 | 03 Mar, 2017, 06:11: PM
answered-by-expert Expert Answer

begin mathsize 16px style Given space BC equals OB rightwards double arrow angle BCO equals angle BOC equals straight y angle OBA equals angle BCO plus angle BOC equals straight y plus straight y equals 2 straight y space... left parenthesis exterior space angle space is space equal space to space sum space of space teh space remote space interior space angles right parenthesis Since space OA equals OB space... left parenthesis radii space of space the space same space circle right parenthesis rightwards double arrow angle OAB equals angle OBA equals 2 straight y space... left parenthesis exterior space angle space is space equal space to space sum space of space teh space remote space interior space angles right parenthesis So comma space in space increment OAC straight x equals angle OAB plus angle OCA space space... left parenthesis exterior space angle space is space equal space to space sum space of space teh space remote space interior space angles right parenthesis rightwards double arrow straight x equals 2 straight y plus straight y rightwards double arrow straight x equals 3 straight y end style

Answered by | 03 Mar, 2017, 10:09: PM

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