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MATHEMATICS

JAMB 2020 - Question 27

Mathematics 2020 JAMB Past Questions - Question 27: in the figure above, PQRS is a circle with ST||RQ . find the value of x if PT = PS.

Use the diagram to answer question that follows

in the figure above, PQRS is a circle with ST||RQ . find the value of x if PT = PS.

A: 70°

B: 55°

C: 40°

D: 35°

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Correct Answer

Explanation

SPT = 180 - 110 = 70°Since SPT is an isoscelesΔi.e PST = PTS = 180 – 70 (sum of angles in a Δ)= 110i.e PST = 110/2 = 55° = PTS since STâ†—â†— RQi.e PTS = x (corresponding angles)i.e x = 55°