0
What else can I help you with?
What are regular polygons?
Regular polygons are those polygons that are bothequilateral (all sides congruent) and equilateral (all interior angles congruent).
What shape has 45 degree interior angles?
There is no such regular polygon with 45 degree interior angles; the smallest interior angles in regular polygons are 60 degrees, which is found in a triangle.
Which regular polygons have interior angles of 150 degrees?
Regular polygons with interior angles of 150 degrees are dodecagons (12-sided polygons). The formula for the interior angle of a regular polygon is ((n-2) \times 180^\circ / n), where (n) is the number of sides. Setting this equal to 150 degrees and solving for (n) confirms that only the dodecagon meets this criterion. Thus, the only regular polygon with interior angles of 150 degrees is the regular dodecagon.
If a Polygon has odd number of angles angles cannot be congruent?
All regular polygons have equal lengths and equal interior angles but irregular polygons have variations in sizes.
How can you determine the number of degrees of the interior angles of a polygon?
A closed polygons internal angles always add up to 360 degrees. If all the angles are the same in the polygon then divide 360 by the number of angles. This would give you each intersects interior angle. This only works for regular polygons though like pentagons heptagons ect.
Are all polygons are equilateral?
Yes in general polygons that have equal interior angles also have equal sides and they are said to be regular polygons. But a rectangle is an exception.
What is the formulas to finding interior and exterior angles of regular polygons?
Interior Angles: n-2 (n is number of sides) ____ 180 Exterior angles are always 360 degrees.
What is the measure of an interior angle of a regular polygon with 6 sides?
120See related link below for interior angles of various polygons.
Is there a minimum number of acute interior angles that any polygon can have?
Although a triangle must have at least two acute interior angles, a square has four interior right angles and no acute angles. And as regular polygons have increasing numbers of sides, their interior angles get larger.
Why will only three of the regular polygons tessellate the plane?
The tessellating polygons must meet at a point. At that point, the sum of the interior angles of the polygons must 360 degrees - the sum of angles around any point. Therefore, each interior angle must divide 360 evenly. There is no 1 or 2 sided polygon. The interior angle of a regular pentagon is 108 degrees which does not divide 360 degrees. The interior angles of regular polygons with 7 or more sides lie in the range (120, 180) degrees and so cannot divide 360.That leaves regular polygons with 3, 4 or 6 sides.
Is it true that regular polygons are both equilateral and equiangular?
Yes, regular polygons have equal side lengths and equal interior angles as for example an equilateral triangle or maybe a square.
Explain why regular polygons with more than 6 sides will not tessellate?
The tessellating polygons must meet at a point. At that point, the sum of the interior angles of the polygons must 360 degrees - the sum of angles around any point. Therefore, each interior angle must divide 360 evenly. The interior angles of regular polygons with 7 or more sides lie in the range (120, 180) degrees and so cannot divide 360.
