MCQ

If an angle of a parallelogram is two-third of its adjacent angle, the smallest angle of the parallelogram is

#### Options

108°

54°

72°

81°

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#### Solution

Let one of the angle of the parallelogram as x°

Then the adjacent angle becomes `2/3 x°`

We know that the sum of adjacent angles of the parallelogram is supplementary.

Therefore,

`x + 2/3x = 180°`

`5/3 X = 180°`

`x = 180 (3/5)`

x = 108°

Thus, the angle adjacent to 108°

`= 2/3 (108°)`

= 72°

Therefore, the smallest angle of the parallelogram as 72°

Hence, the correct choice is (c).

Is there an error in this question or solution?

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