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Question -

If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram.



Answer -

Let one of the angle of the parallelogram as 
Then the adjacent angle becomes   
We know that the sum of adjacent angles of the parallelogram is supplementary.
Therefore,

Thus, the angle adjacent to 

Since,opposite angles of a parallelogram are equal.

Therefore,the four angles in sequence are ,,and.

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