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TP and TQ are tangents rlto a circle with centre O, touches the circle at P and Q. if angle POQ 110° then find angle PTQ |
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Answer» ONG>Answer: GIVEN, ∠POQ=110 ∘
We know, ∠OPT=∠OQT=90 ∘ (Angle between the TANGENT and the radial line at the POINT of intersection of the tangent at the CIRCLE) Now, in quadrilateral POQT Sum of angles=360 ∠OPT+∠OQT+∠PTQ+∠POQ=360 ∘
90+90+∠PTQ+110=360 ∠PTQ=360−290 ∠PTQ=70 ∘ |
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