Multiple choice

From an external point, two tangents to a circle are drawn. The chord passing through the points of contact subtends an angle 72° at the centre. The angle between the tangents is

  1. 36°

  2. 72°

  3. 108°

  4. 144°
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C Correct answer
Explanation

The angle between the tangents and the angle subtended by the chord at the center are supplementary. 180 - 72 = 108 degrees.

AI explanation

Using the property that the angle between two tangents drawn from an external point and the angle subtended by the chord of contact at the center are supplementary, we can find the required angle. The given angle at the center is 72 degrees. Therefore, the angle between the tangents is 180 degrees minus 72 degrees. The result is 108 degrees.

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