Final answer:
An equiangular polygon is defined as a polygon where all interior angles are of equal measure, which is option b. This term pertains to angles and does not imply that the sides must also be equal in length.
Step-by-step explanation:
Understanding Equiangular Polygons
An equiangular polygon is best described as a geometric figure where all interior angles have equal measure. This does not necessarily mean that the sides of the polygon must be of equal length. Conversely, an equilateral polygon has all sides of equal length but does not require equal angle measures. Therefore, the definition of an equiangular polygon focuses solely on the angles, not the sides.
When considering the options presented:
a) A polygon with all sides of equal length - describes an equilateral polygon.
b) A polygon with all interior angles of equal measure - this is the correct description of an equiangular polygon.
c) A polygon with no right angles - does not necessarily indicate equal angles.
d) A polygon with at least one obtuse angle - also does not address the equality of the angles.
It is important to note that a polygon can be both equiangular and equilateral, such as a square, where all sides and all angles are equal. However, polygons like rectangles, which are equiangular but not equilateral, exemplify that one property does not automatically confer the other.
In conclusion, the best description of an equiangular polygon is option b, a polygon with all interior angles of equal measure.