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Question

In the above figure, a pair of parallel lines are cut by a transversal. Find the size of each lettered angle.

Solution
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In the given figure,
Given angle is $$60^{0}$$
$$x=60^{0}$$ (vertically opposite angles)
But $$\angle y=\angle x$$ (Corresponding angles)
$$\angle y=60^{0}$$
Hence, $$\angle x=60^{0},\angle y=60^{0}$$

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