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Hunter-Best [27]
3 years ago
13

With process Plz!!Thank you very much

Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

Step-by-step explanation:

In circle with centre O.

OA \cong OB.. (Radii\: of \:same \:circle) \\\therefore m\angle OAB = m\angle OBA =28°\\(m \angle 's \:opposite \:to \:congruent \:sides \:\\are \:equal)

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

(m\angle\: formed\: on\: the \:circle \:\\is\: half\: the\:\angle\: formed\: at\: the \:center\: \\of \:the \:circle)

\therefore\: m \angle ACB = \frac{1}{2} \times 124°\\\therefore\: m \angle ACB = 62°\\

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