Respuesta :

Answer:

The angle ABC is 70°.

Step-by-step explanation:

You can observe a representation of the problem in the image attached.

According to the inscribed angle theorem, the angle created by two chords is half of its subtended arc, that means

[tex]\angle ADC = \frac{1}{2}(AC)\\ 35\°=\frac{1}{2} (AC)\\AC=70\°[/tex]

Now, observe that the arc AC has as central angle the angle ABC, according to the theorem, the subtended arc and its central are congruent.

[tex]\angle ABC \cong arc(AC)[/tex]

Therefore, the angle ABC is 70°.

Ver imagen jajumonac

Answer:

Step-by-step explanation:

70