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The statement made which says the tangent - chord angle is twice the measure of the intercepted arc inside the angle is FALSE.

  • According to the angle theorem, the angle formed by the intersection of the chord and tangent on a circle is twice the measure of the intercepted arc.

  • This means that the intercepted arc is twice the measure of the angle formed and not the other way round.

Therefore, the statement is False because the intercepted arc is twice the measure of the angle formed by the intersection of the chord and the tangent on the circle.

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