Question

Prove parallelogram inscribe in circles is rectangle

Answer 1

we know that opposite angles in a parallelogram are equal. But in a cyclic quadrilateral opp. angles are supplementary so, if one angle is X then. wehavex+x=180 (opp angles in cyclic quadrilateral and parallelogram)
2x = 180
x=90 so, in a parallelogram if one angle is 90 then it is a rectangle... 


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