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Can a quadrilaterals have 4 acute angles?

April 26, 2017acute quadrilaterals

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Can a quadrilaterals have 4 acute angles?

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No, because the sum of all the angles is always 360 degrees. If 3 of the angles are acute (less than 90), then the sum of these must be less than 270. Therefore the remaining angle must be obtuse (greater than 90), so that the sum of all 4 is 360.