two tangents TP andTQ are drawn to a circle with centre O from an external point T prove that angle PTQ=2of angle OPQ
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we know that ,
OPT=90°
OPQ=90-QPT°⇒equation1
in ΔPQT
PTQ=180-2QPT IF 2 IS TAKEN AS COMMON
PTQ/2=90-QPT⇒EQUATION 2
From equations 1 and 2
PTQ/2=OPQ AS R.H.S are equal
PTQ=2OPQ
hence proved.
OPT=90°
OPQ=90-QPT°⇒equation1
in ΔPQT
PTQ=180-2QPT IF 2 IS TAKEN AS COMMON
PTQ/2=90-QPT⇒EQUATION 2
From equations 1 and 2
PTQ/2=OPQ AS R.H.S are equal
PTQ=2OPQ
hence proved.
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