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In the figure, O is the centre of the ci...

In the figure, O is the centre of the circle. Seg AC is the diameter `/_ ABC` is inscribed in arc ABC and intercepts arc AMC then prove `/_ ABC = 90^(@)`

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m (arc AMC) `= 180^(@)` …. (Measure of a semicircle is `180^(@)`)
`/_ ABC = (1)/(2) m` (arc AMC) …. (Inscribed angle theorem)
`:. /_ ABC = (1)/(2) xx 180^(@)`
`:. /_ ABC = 90^(@)`
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