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Question

In the given figure, lines $$AB$$ and $$CD$$ intersect at point $$O$$.
Find the value of $$\angle a$$.

Solution
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Given
$$AB$$ and $$CD$$ intersect each other at point $$C$$
$$\angle AOC=68^o$$
Here $$AOB$$ is a line
Hence,
$$\angle AOC+\angle BOC =180^o$$ [Linear pair of angles]
$$68^o +a=180^o$$
$$a=180^o-68^o$$
$$a=112^o$$

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