Q: What is the greatest number of acute angle in a quadrilateral?

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It is just an irregular quadrilateral.

No, a quadrilateral can't have three acute angles and one right angle. The angles of a quadrilateral must total 360. The three other angles of a quadrilateral with one right angle would then have to total 270 degrees. If all three were acute (less than 90 degrees), they could not total 270.

octegon

A kite can satisfy those criteria.

Non Euclidean.

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Impossible. You cannot have an obtuse angle without an acute angle in a quadrilateral.

It is just an irregular quadrilateral.

Four SIdes

No, a quadrilateral can't have three acute angles and one right angle. The angles of a quadrilateral must total 360. The three other angles of a quadrilateral with one right angle would then have to total 270 degrees. If all three were acute (less than 90 degrees), they could not total 270.

octegon

A kite can satisfy those criteria.

A quadrilateral may have zero, one, two, or three acute angles.

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

jobby

parallelogram with one diagonal

Non Euclidean.

isolese triangle