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Answer:
x = 58°
Step-by-step explanation:
Length of tangents drawn to a circle from a point outside the circle, are equal in measure.
By using this property,
Two tangents PQ and PR will be equal.
And angles opposite to these sides will be equal.
Therefore, ∠PQR ≅ ∠PRQ
By triangle sum theorem,
m∠PQR + m∠PRQ + m∠QPR = 180°
x° + x° + 64° = 180°
2x = 180 - 64
2x = 116
x = 58°
