If two adjacents angles of a parallelogram are in ratio 3 : 9, then measure of smallest angle is

105

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60

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45

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None

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Solution

The correct option is C $45$
Sum of adjacent angles of parallelogram $= 180^{o}$
One angle of a parallelogram $= 3 x$
other angle of a parallelogram $= 9 x$
$3 x + 9 x = 180$
$12 x = 180, x = \frac{180}{12} = 15$
one angle $3 x = 3 \times 15 = 45$

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