Question

Prove that if a chord is drawn from a point of contact of the tangent of the circle then angle made by this chord with the tangent are equal to the respective alternate angles made by segments with this chord

Answer 1

$\bf\large\underline\blue{Answer:-}$

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In any circle, the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment, i.e. the angle subtended by the chord in the opposite side of the previous angle.” In the above figure, the angles with the same colours are equal.

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Answer 2

Answer:

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In any circle, the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment, i.e. the angle subtended by the chord in the opposite side of the previous angle.” In the above figure, the angles with the same colours are equal.

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