Find Geometry Homework Help.In Geometry, each structure combined with different line segments form a closed shape. Every closed geometric shape is called a Polygon which is divided into two types: Regular polygons and Irregular polygons. In Geometry, every shape has its own dimensions like the length, width, angle etc. These dimensions further help in understanding their details.
Polygons: When different line segments intersect and form a closed shape, it is called a polygon. This definition tells us that all the closed shapes in geometry are in fact called polygons!
Example: Find the sum of interior angles in a 6-sided polygon.
Sum of interior angles=180° (6-2)
Sum= 180° (4) = 720°
Regular Polygon: If all the sides and the interior angles in a polygon are equal, then it’s called a regular polygon.
Example: What is the each interior angle in a 5-sided regular polygon (pentagon)?
Each interior angle = 180° (n-2)/n
Angle = 180° (5-2)/5= 180° (3/5)
Angle = 108°
Irregular polygon: A polygon with different side-lengths and different each interior angle measure.
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