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Question -

Find the measure of all the angles of a parallelogram, if one angle is 24° less than twice the smallest angle.



Answer -

Let the smallest angle of the parallelogram be  
Therefore, according to the given statement other angle becomes  .
Also, the opposite angles of a parallelogram are equal.
Therefore, the four angles become ,, and .
According to the angle sum property of a quadrilateral:

Thus, the other angle becomes

Hence,the four angles of the parallelogram are , ,  and .

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