Question 1203594
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"acute" means the measure of an angle is less than 90 degrees.<br>
For a triangle, the sum of the angle measures is 180 degrees, so the average of the angle measures is 180/3 = 60 degrees.  Since that is less than 90 degrees, the polygon he drew could have been a triangle.<br>
For a quadrilateral, the sum of the angle measures is 360 degrees, so the average of the angle measures is 360/4 = 90 degrees.  Since that is not less than 90 degrees, the polygon he drew could not have been a quadrilateral.<br>
For polygons with more than 4 sides, the average of the angle measures is always greater then 90 degrees, so it is not possible that the polygon he drew has more then 4 sides.<br>
ANSWER: triangle<br>