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In the figure, ∠POM and ∠QOM form a linear pair. If x – 2y = 30°, find x and y.

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In the figure, ∠POM and ∠QOM form a linear pair. If x – 2y = 30°, find x and y.

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∠POM and ∠QOM form a linear pair.

x + y = 180° …(i)

Also x – 2y = 30° (given) …(ii)

Solving (i) and (ii), we get x = 130° and y = 50°

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