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∠ACB is inscribed angle in a circle with centre O. If ∠ACB = 65°, then what is the measure of its intercepted arc AXВ? - Geometry Mathematics 2

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प्रश्न

∠ACB is inscribed angle in a circle with centre O. If ∠ACB = 65°, then what is the measure of its intercepted arc AXВ?

विकल्प

  • 65°

  • 230°

  • 295°

  • 130°

MCQ

उत्तर

130°

Explanation:

∠ACB = `1/2 xx "m"("arc AXB")`

`65^\circ = 1/2 xx "m"("arc AXB")`

m(arc AXB) = 65° × 2

m(arc AXB) = 130°

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