If an angle x of a parallelogram is two-thirds its adjacent angle, then find the value of x.

72°

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108°

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60°

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100°

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Solution

The correct option is B 108°
$x + \frac{2}{3} x = 180^{\circ}$ [ Sum of adjacent angles in parallelogram is $180^{\circ}$ ]
$\Rightarrow \frac{5}{3} x = 180^{\circ}$
$\Rightarrow x = \frac{180^{\circ} \times 3}{5} = 108^{\circ}$

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