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In the figure, if ∠ABC = 35°, then find m(arc AXC)? - Geometry Mathematics 2

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प्रश्न

In the figure, if ∠ABC = 35°, then find m(arc AXC)?

योग

उत्तर

In the figure, arc AXC is intercepted by ∠ABC.

∴ ∠ABC = `1/2` m(arc AXC)    ...[The measure of an inscribed angle is half of the measure of the arc intercepted by it]

∴ m(arc AXC) = 2∠ABC

∴ m(arc AXC) = 2 × 35°

∴ m(arc AXC) = 70°

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Inscribed Angle
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अध्याय 3: Circle - Q.2
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