Question

<ABC is inscribed in arc ABC of circle. If m(arc ABC)=210°, then find <ACB​

Answer 1

Step-by-step explanation:

Since, Here the angle abc is inscribed in arc of circle with Center O,

Also, m\angle ACB = 65^{\circ}m∠ACB=65

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⇒ By the Central angle theorem,

m\angle ABC = 2 \times m\angle ACB = 2 \times 65^{\circ} = 130^{\circ}m∠ABC=2×m∠ACB=2×65

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=130

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Thus, the length of major arc ACB = 360^{\circ} - 130^{\circ} = 230^{\circ}360

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−130

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=230

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