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Wednesday, 04 March 2026
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In the figure above, PQRS is a circle with ST//RQ. Find the value of x PT = PS.



In the figure above, PQRS is a circle with ST//RQ. Find the value of x PT = PS.
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  • A 70o
  • B 55o
  • C 40o
  • D 35o
Correct Answer: Option B
Explanation:

PQRS is a cyclic quad^P = 180 - 110 (opp ∠s of a cyclic quad)^P = 70
In ΔPTS, ^S = ^T (base ∠s of Isc Δ)
∴^T = (180-70) / 2
= 110/2
= 55o
But ^T x(corr ∠)
∴x =55

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