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In the following figure, O is the centre...

In the following figure, O is the centre of the circle. `/_ ABC` is inscribed in arc ABC and `/_ ABC = 65^(@)`. Complete the following activity to find the measure of `/_ AOC`
Activity :
`/_ ABC = (1)/(2) m square` …..(Inscribed angle theorem)

`:. square xx 2 m` (arc AXC)
`:. m` (arc AXC = `square`
`/_ AOC = m` (arc AXC)... (Definition of measure of minor arc)
`:. /_ AOC = square`

Text Solution

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Activity :
`/_ ABC = (1)/(2) m` (arc AXC) ….. (Inscribed angle theorem)
`:. 65^(@) xx 2 m` (arc AXC)
`:. M` (arc AXC) `= 130^(@)`
`/_ AOC = m` (arc AXC)… (Definition of measure of minor arc)
`:. /_ AOC = 130^(@)`
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