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dexar [7]
3 years ago
5

MARTY ATE 4/6 OF HIS PIZZA. LUIS ATE 5/6 OF HIS.MARTY ATE MORE THAN LUIS. HOW IS THAT POSSIBLE

Mathematics
1 answer:
dangina [55]3 years ago
6 0

Marty's pizza started out at least 25% bigger than Luis' pizza.


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Define a cyclic quadrilateral by a quadrilateral that is circumscribed by a circle. In this case, since the quadrilateral shown is circumscribed by a circle, it is a cyclic quadrilateral.

A property of all cyclic quadrilaterals is that their opposite angles are supplementary, meaning they add up to 180 degrees. Since \angle G and \angle I are opposite angles in the quadrilateral, they must be supplementary. Therefore, we have the equation:

\angle G+\angle I=180,\\81^{\circ}+\angle I=180,\\\angle I=180-81=\boxed{99^{\circ}}

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