muizkaiokhan5305 muizkaiokhan5305

11-12-2021
Mathematics

contestada

Please answer circle theorem question.
Many thx.

Please answer circle theorem question Many thx class=

Respuesta :

jimrgrant1 jimrgrant1

11-12-2021

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 = [tex]\frac{180-70}{2}[/tex] = [tex]\frac{110}{2}[/tex] = 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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