Consider a circle, In which, PQ is a chord and AP and AQ are two tangents drawn at end points P and Q of the chord.
To Prove: tangent make equal angles with the chord i.e. ∠AQP = ∠APQ
As we know, tangents drawn from an external point are equal
⇒ AP = AQ [Tangents from common external point A]
⇒ ∠AQP = ∠APQ [Angles opposite to equal sides are equal]
Hence, Proved !
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