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Prove that, If in a quadrilateral …

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Prove that, If in a quadrilateral each pair of opposite angles is equal,then it is a parallelogram

Posted by Aenna Ephraim 8 years, 3 months ago

CBSE > Class 09 > Mathematics

1 answers

Kashish Agrawal 8 years, 3 months ago

In quad ABCD Angle a = angle c-----1 Angle b = angle d------2 Add 1 and 2 A+b=c+d------3 A+b+c+d=360 A+b+a+b=360 A+b=180 But these are co int angles Therefore adparallel to bc Similarly cd parallel to ab It is a parallelogram

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