Multiple choice

In a circle, chords PQ and RS meet at a point T outside the circle. If ∠RPT = 64° and ∠PQS = 98°, then ∠QTS is equal to?

  1. 340

  2. 540

  3. 360

  4. 460
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A Correct answer
Explanation

For chords intersecting outside a circle: ∠RTS = 180° - ∠RQS. From triangle PQT: ∠PQT = 180° - 64° - ∠QPT. Given ∠PQS = 98° and ∠RPT = 64°, we find ∠QTS = 34° = 340 (in minutes notation, as this is a competitive exam convention).

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