In the given figure, two straight lines AB and CD intersect at a point O such that ∠AOC = 50°.
Find: (i) ∠BOD (ii) ∠BOC.

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Solution

$\begin{array}{l} (i) ∠ AOC = ∠ {BOD =50}^{0} [vertically opposite angles] \\ (ii) ∠ BOC = 180^{0} - 50^{0} (linear pair) \\ {=130}^{0} \end{array}$

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