Minor arc APB and the corresponding major arc AQB of a circle are in the ratio 5 :4. The angle subtended by arc AQB at the centre is ___ degrees

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Solution

arc APB : arc CQD = 5:4

$∴$ The angle subtended by arc CQD at the centre is $\frac{4}{9} \times 360^{o} = 160^{o}$ (1 mark)

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