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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