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Q: What polygon has 3 sides and 3 angles that are less than 90 degrees?

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A triangle having all angles less than 90 degrees is a polygon having no parallel sides and all acute angles.

The interior angles of a regular polygon cannot be less than 60 degrees so 24 degrees is not possible. ------------------------------- However a regular polygon with EXTERIOR angles of 24° has 360° ÷ 24° = 15 sides.

If those are exterior angles, the exterior angles of any polygon add up to 360. That would be 20 sides.

If those are exterior angles, the exterior angles of any polygon add up to 360. That would be 18 sides.

The angles between adjacent sides of a polygon that are interior to the polygon. If the polygon is convex, the interior angles are always less than 180 degrees. If it is concave, at least one interior angle will be greater than 180 degrees.

No. To elaborate, the smallest regular polygon, an equilateral triangle, has 60 degree interior angles. The next larger one, a square, has 90 degree interior angles. In fact, for any regular polygon, the interior angles measure 180*(n-2)/n degrees, where n is the number of sides. No polygon has less than 3 sides. Thus, no regular polygon can have interior angles less than 60 degrees.

Acute scalene triangle

A rhombus has 4 equal sides, 2 acute angles and 2 obtuse angles. If you are looking for a polygon with 4 equal sides and ALL acute angles, that can't exist. An acute angle is an angle of less than 90 degrees, so four of them add up to less than 360 degrees. But the four angles inside a four-sided polygon must add up to 360 degrees, so they can't all be acute.

A formula for this question is that the total measure of the interior angles of a polygon is 180 degrees multiplied by 2 less than the number of sides. For a seven sided polygon, this formula yields 180 X 5 = 900 degrees.

7 It is not possible for a regular polygon to have exterior angles of 180 degrees or less in plane geometry

No polygon can have less than 3 angles. It would be a triangle with 3 sides but that has 3 angles.

An obtuse angle is an angle that is greater than 90 degrees but less than 180 degrees. The internal angles of any regular polygon with 5 or more sides will be obtuse.

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