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In the diagram \(\overline{TU}\) is a tangent to the circle SPQR at P. If \(\angle\)PTS...

Mathematics
WAEC 2024

In the diagram \(\overline{TU}\) is a tangent to the circle SPQR at P. If \(\angle\)PTS = 44º, \(\angle\)SQP = 35º, find \(\angle\)PST

  • A. 101º
  • B. 125º
  • C. 130º
  • D. 135º
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Correct Answer: Option A
Explanation

\(\angle\)SPT = 35º (alternate segment)

From \(\triangle\)TSP

44 + \(\angle\)SPT + \(\angle\)PST = 180º (sum of angles in a triangle)

\(\angle\)PST = 180 - 44 - 35 = 101º

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