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If one angle of a parallelogram …

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If one angle of a parallelogram is 24 degree less than twice the smallest angle then the largest angle of parallelogram is

Posted by Akshat Jain 5 years, 11 months ago

CBSE > Class 09 > Mathematics

1 answers

Yogita Ingle 5 years, 11 months ago

Let the smallest angle of the parallelogram be

Therefore, according to the given statement other angle becomes 2x - 24 .

Also, the opposite angles of a parallelogram are equal.

Therefore, the four angles become x, 2x - 24, x and 2x - 24

According to the angle sum property of a quadrilateral:

x+ 2x - 24+ x+ 2x - 24 = 360

6x = 408

x = 68

Thus, the other angle becomes 68, 112, 68 and 112.

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