Question

Please answer circle theorem question.
Many thx.

Answer 1

x = 125

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 =
`(180-70)/(2)` =
`(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