Angle ABC inscribed in arc ABC of a circle with centre O if angle ABC is 65 then arc ABC = ?
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Step-by-step explanation:
m∠ABC = 1/2 m(arc AB) [Inscribed angle theorem]
∴ m(arc AB) = 2 m∠ABC
= 2 × 65
= 130°
m(arc ABC) = 360° – m(arc ABC) [Measure of a circle is 360°]
= 360° – 130°
= 230°
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