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Using the formula for an angle formed by two secants, we have:
∠XYZ = 1/2*(m arc XZ - m arc TS)
∠XYZ = 1/2*(114° - 36°) (Replacing)
∠XYZ = 1/2*(78° ) (Subtracting)
∠XYZ = 39° (Multiplying by the fraction)
The answer is the option A.