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ve thalsin cosog are the tangents drawn from D, to the circle with centre O, at A and B respectively1s.110 =35°, find AOB |
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Answer» ∠ADO=35°OA⊥DAOB⊥DBInΔAODandΔBOD OD=ODOA=OB[radiusofsamecircle]∠OAD=∠OBD=90°ΔAOD≅ΔBOD[RHS]∠AOD=∠BODInrt.ΔAOD∠AOD=90°−∠ADO=90°−35°=>∠AOD=55°∠AOB=∠AOD+∠BOD=>AOB=2∠AOD=>∠AOB=2×550=110° |
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