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Question
In the given figure, the value of y is

Options
20°
30°
45°
60°
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Solution
In the given figure, x°and y°are vertically opposite angles, therefore, these must be equal.

That is,
x =y ...(i)
Also, 2x°, y°and 3x° form a linear pair. Therefore, their sum must be supplementary.
That is,
2x + y + 3x = 180°
From (i) equation, we get:
2x + x +3x = 180°
6x = 180°
`x = (180°) /6`
x = 30°
From (i) equation again,
y =30°
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