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VMariaS [17]
2 years ago
10

Please answer circle theorem question. Many thx.

Mathematics
1 answer:
pogonyaev2 years ago
3 0

Answer:

x = 125

Step-by-step explanation:

Tangents from an external point to a circle are congruent , that is

CA = CB

Then Δ ABC is isosceles with base angles being congruent

∠ BAC = ∠ ABC = \frac{180-70}{2} = \frac{110}{2} = 55°

∠ ABC and x are adjacent angles on a straight line and sum to 180° , so

x = 180° - 55° = 125°

Then x = 125

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