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Question

In Fig., $$ l \parallel m$$ and $$a$$ line $$t$$ intersects these lines at $$P$$ and $$Q$$, respectively. Find the sum $$2a+b$$.

Solution
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As $$l$$ is parallel to $$m$$ and $$t$$ is a transversal.
$$\therefore a=132^o$$ .... Corresponding angles
ANd $$b=1320^o$$ .. vertically opposite angles
Now,
$$\Rightarrow 2a+b=2 \times 132^o+132^o$$
$$\Rightarrow 264^o+132^o=396^o$$

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