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svp [43]
3 years ago
8

X=?.........................

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
6 0

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°

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