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anything that has an angle measure of greater than zero and less than 90
No, It is not possible to have a quadrilatera with four acute angles because the addition of four angles for quadrilateral = 360 & acute angle is less than 90 degree
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An acute angle is an angle that measures less than 90 degrees. See the related link, "Acute Angle Pictures" for a diagram of some acute angles.
Spherical triangles as on the earth's surface.