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Question

Find the magnitude of $∠ A O D$

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Solution

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$∠ A O C + ∠ A O D = 180^{o}$
(Linear pair axiom)
$\Rightarrow 52^{o} + ∠ A O D = 180^{o}$
$\Rightarrow ∠ A O D = 180^{o} - 52^{o}$
$\Rightarrow ∠ A O D = 128^{o}$

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