Respuesta :

Step-by-step explanation:

In circle with centre O.

[tex]OA \cong OB.. (Radii\: of \:same \:circle) \\

\therefore m\angle OAB = m\angle OBA =28°\\

(m \angle 's \:opposite \:to \:congruent \:sides \:\\are \:equal) [/tex]

[tex] m \angle AOB = 180°-(m\angle OAB + m\angle OBA)\\

\therefore\: m \angle AOB = 180°-(28° + 28°)\\

\therefore\: m \angle AOB = 180°-56°\\

\therefore\: m \angle AOB = 124°\\

m \angle ACB = \frac{1}{2} \times m \angle AOB[/tex]

[tex](m\angle\: formed\: on\: the \:circle \:\\is\: half\: the\:\angle\: formed\: at\: the \:center\: \\of \:the \:circle)[/tex]

[tex] \therefore\: m \angle ACB = \frac{1}{2} \times 124°\\

\therefore\: m \angle ACB = 62°\\[/tex]