Question

Prove that the tangents drawn at the end points of a chord of a circle make equal angles with the chord.​

Answer 1

Consider two triangles ΔAPR and ΔAQR

the sides AP = AQ ( as because tangents drawn from an internal point to a circle are equal]

The angles ∠PAR and ∠QAR are equal

AR = AR [Common side]

∴ ΔAPR ≅ ΔAQR (using side angle side congruency.)

Hence ∠APR = ∠AQR (hence proved)

Answer 2

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